Solve for x

To solve for x, we need to simplify the equation and isolate the variable x.

-7x + 40 + -37

Combine like terms: 40 + -37 = 3

-7x + 3

Subtract 3 from both sides of the equation to move it to the other side:

-7x = -3

Divide both sides of the equation by -7 to solve for x:

x = -3 / -7

Simplify the fraction:

x = 3/7

Therefore, x is equal to 3/7.

Solve for M

m/8 - 4 = -12

To solve for M, we need to isolate the variable M on one side of the equation.

First, we add 4 to both sides of the equation to eliminate the constant -4:

m/8 - 4 + 4 = -12 + 4

This simplifies to:

m/8 = -8

Next, we multiply both sides of the equation by 8 to eliminate the denominator 8:

(8)(m/8) = -8(8)

This simplifies to:

m = -64

Therefore, M is equal to -64.

Solve for x

2/5(10x + 15) + 26

To solve for x, we need to simplify the expression and then isolate the variable x.

First, let's simplify the expression inside the parentheses:

10x + 15

Next, let's distribute the fraction 2/5 to the simplified expression:

(2/5)(10x + 15) = (4x + 6)

Now, we can rewrite the expression as:

(4x + 6) + 26

Combine like terms: 6 + 26 = 32

So, the expression simplifies to:

4x + 32

Now, let's isolate the variable x by subtracting 32 from both sides:

4x + 32 - 32 = 0 - 32

This simplifies to:

4x = -32

Finally, divide both sides of the equation by 4 to solve for x:

4x/4 = -32/4

This simplifies to:

x = -8

Therefore, x is equal to -8.

2/5(10x + 15) = 26

solve for x

To solve for x, we need to isolate the variable x.

Let's distribute the 2/5 to the expression inside the parentheses:

2/5(10x + 15) = 26

(2/5) * 10x + (2/5) * 15 = 26

2(2x) + 2(3) = 26

4x + 6 = 26

Now, let's isolate x by subtracting 6 from both sides:

4x + 6 - 6 = 26 - 6

4x = 20

Lastly, divide both sides of the equation by 4 to solve for x:

(4x)/4 = 20/4

x = 5

Therefore, x is equal to 5.

Denny bought tickets to the circus. He bought 3 child tickets. The child tickets were $5 less than the adult tickets. He spent $45 total. Which equation can be used to find the price of an adult ticket, t?(1 point)

Let's assume the price of an adult ticket is t dollars.

Since Denny bought 3 child tickets, the total amount he spent on child tickets would be 3 multiplied by the price of the child ticket, which would be t - 5 dollars.

The total amount Denny spent on the tickets is $45. Therefore, we can set up the equation:

3(t - 5) + t = 45

This equation represents the total amount Denny spent on child tickets plus the price of an adult ticket equals $45.

So, the correct equation to find the price of an adult ticket, t, is:

3(t - 5) + t = 45

Solve for x.

50 (4x + 12) -200

To solve for x, we need to simplify the expression and then isolate the variable x.

First, let's simplify the expression inside the parentheses:

4x + 12

Next, let's distribute the 50 to the simplified expression:

50(4x + 12) = 200x + 600

Now, we can rewrite the expression as:

200x + 600 - 200

Combine like terms: 600 - 200 = 400

So, the expression simplifies to:

200x + 400

Now, let's isolate the variable x by subtracting 400 from both sides:

200x + 400 - 400 = 0 - 400

This simplifies to:

200x = -400

Finally, divide both sides of the equation by 200 to solve for x:

200x/200 = -400/200

This simplifies to:

x = -2

Therefore, x is equal to -2.

50 (4x + 12) = -200 solve for x

To solve for x, let's simplify the equation by distributing 50 to the terms inside the parentheses:

50 * 4x + 50 * 12 = -200

Simplifying further:

200x + 600 = -200

To isolate the variable x, subtract 600 from both sides of the equation:

200x + 600 - 600 = -200 - 600

This simplifies to:

200x = -800

Finally, divide both sides of the equation by 200 to solve for x:

200x/200 = -800/200

This simplifies to:

x = -4

Therefore, x is equal to -4.

Solve for x

1.5 - x = -4.5

To solve for x, we need to isolate the variable x on one side of the equation.

First, let's add x to both sides to eliminate -x on the left side:

1.5 - x + x = -4.5 + x

This simplifies to:

1.5 = -4.5 + x

Next, let's subtract -4.5 from both sides to move it to the other side:

1.5 - (-4.5) = -4.5 + x - (-4.5)

Simplifying the left side:

1.5 + 4.5 = -4.5 + x + 4.5

This simplifies to:

6 = x

Therefore, x is equal to 6.

Solve for x

6y - 9y + 6 = -12

To solve for x, we need to combine like terms and isolate the variable x on one side of the equation.

First, let's combine the y terms:

6y - 9y = -3y

The equation becomes:

-3y + 6 = -12

Next, let's isolate the variable x by subtracting 6 from both sides of the equation:

-3y + 6 - 6 = -12 - 6

This simplifies to:

-3y = -18

Finally, divide both sides of the equation by -3 to solve for y:

(-3y) / -3 = (-18) / -3

This simplifies to:

y = 6

Therefore, y is equal to 6.

Solve for w

15w + 3w + 19 = -17

To solve for w, we need to combine like terms and isolate the variable w on one side of the equation.

First, let's combine the w terms:

15w + 3w = 18w

The equation becomes:

18w + 19 = -17

Next, let's isolate the variable w by subtracting 19 from both sides of the equation:

18w + 19 - 19 = -17 - 19

This simplifies to:

18w = -36

Finally, divide both sides of the equation by 18 to solve for w:

(18w) / 18 = (-36) / 18

This simplifies to:

w = -2

Therefore, w is equal to -2.

Simplify

(6x - 10) - (2x + 12)

To simplify the expression (6x - 10) - (2x + 12), we can distribute and combine like terms.

First, let's distribute the negative sign to the terms inside the second parentheses:

(6x - 10) - 2x - 12

Next, let's remove the parentheses while keeping the negative sign in front of each term:

6x - 10 - 2x - 12

Now, let's combine like terms:

(6x - 2x) + (-10 - 12)

This simplifies to:

4x - 22

Therefore, the simplified expression is 4x - 22.

Jenny bought 6 cookies and 6 cupcakes at the bakery. The cookies were $1.50 each, but she cannot remember how much each cupcake was. She paid $21 total. How much was each cupcake?(1 point)

Let's assume the price of each cupcake is c dollars.

Jenny bought 6 cookies, so the cost of the cookies would be 6 multiplied by $1.50, which would be $9.

The total amount she paid, including the cost of the cookies and cupcakes, is $21. Therefore, we can set up the equation:

9 + 6c = 21

This equation represents the cost of the cookies plus the cost of the cupcakes equaling $21.

Next, let's solve for c by subtracting 9 from both sides of the equation:

9 + 6c - 9 = 21 - 9

This simplifies to:

6c = 12

Finally, divide both sides of the equation by 6 to solve for c:

6c/6 = 12/6

This simplifies to:

c = 2

Therefore, each cupcake costs $2.

Half the sum of a number and 26 is 15. What is the number?(1 point)

Let's assume the number is x.

The expression "half the sum of a number and 26" can be written as (1/2)(x + 26).

According to the problem, this expression equals 15.

So, we can set up the equation:

(1/2)(x + 26) = 15

Now, let's solve for x by multiplying both sides of the equation by 2 to eliminate the fraction:

2 * (1/2)(x + 26) = 2 * 15

This simplifies to:

x + 26 = 30

Now, let's isolate the variable x by subtracting 26 from both sides of the equation:

x + 26 - 26 = 30 - 26

This simplifies to:

x = 4

Therefore, the number is 4.

Four times the difference of a number and 7 is 12. What is the number?(1 point)

Let's assume the number is x.

The expression "four times the difference of a number and 7" can be written as 4(x - 7).

According to the problem, this expression equals 12.

So, we can set up the equation:

4(x - 7) = 12

Now, let's solve for x by dividing both sides of the equation by 4 to eliminate the coefficient:

(4(x - 7)) / 4 = 12 / 4

This simplifies to:

x - 7 = 3

Now, let's isolate the variable x by adding 7 to both sides of the equation:

x - 7 + 7 = 3 + 7

This simplifies to:

x = 10

Therefore, the number is 10.

What is the first step in solving the equation

3= 6y + 9

To solve the equation 3 = 6y + 9, the first step would be to subtract 9 from both sides of the equation in order to isolate the term with the variable:

3 - 9 = 6y + 9 - 9

This simplifies to:

-6 = 6y

So, the first step in solving the equation is to subtract 9 from both sides to eliminate the constant term.

Simplify

2(3x + 4) - 3 (2x - 2) + 8 (x - 5)

To simplify the expression 2(3x + 4) - 3 (2x - 2) + 8 (x - 5), we need to distribute and combine like terms.

Let's begin by distributing the coefficients:

2 * 3x + 2 * 4 - 3 * 2x + 3 * 2 + 8 * x - 8 * 5

This simplifies to:

6x + 8 - 6x + 6 + 8x - 40

Now, let's combine like terms:

(6x - 6x + 8x) + (8 + 6 - 40)

The like terms 6x and -6x cancel each other out, leaving us with:

8x + 8 - 40

Simplifying further:

8x - 32

Therefore, the simplified expression is 8x - 32.

Write an equation and solve: Four times a number, decreased by 4 is 8.(1 point)

Let's assume the number is x.

The equation can be written as:
4x - 4 = 8

Now, let's solve for x.

We start by adding 4 to both sides of the equation:
4x - 4 + 4 = 8 + 4
This simplifies to:
4x = 12

Next, we divide both sides of the equation by 4 to solve for x:
4x/4 = 12/4
This simplifies to:
x = 3

Therefore, the number is 3.