Question

4(y + 2) = 5(y - 5)

Answer 1

2x + 6 - 3x - 4 = 9x - 10x - 1

Answer 2

x/5 = -15 8

Answer 3

x/5 = -15 - 8

Answer 4

x/5 = -15 + 8

Answer 5

2(6x - 2) = 10x

Answer 6

x/6 - 5 = -12

Answer 7

6(x + 2) - (6x + 12) = 0

Answer 8

5(x + 3) = (5x + 15)

Answer 9

x + 2 = -28 + 6

Answer 10

2(6x - 8) = 13x

Answer 11

To solve this equation, let's start by distributing the 4 on the left side and the 5 on the right side:

4(y + 2) = 5(y - 5)
4y + 8 = 5y - 25

Next, let's isolate the variable terms by subtracting 4y from both sides of the equation:

8 = y - 25

Now, let's isolate the constant terms by adding 25 to both sides of the equation:

8 + 25 = y
33 = y

The solution to the equation is y = 33.

Answer 12

Let's simplify and solve the equation step by step:

2x + 6 - 3x - 4 = 9x - 10x - 1

First, combine like terms on each side of the equation:

(-x) + 2 = -x - 1

Next, subtract -x from both sides to simplify the equation further:

(-x) + 2 + x = -x - 1 + x

2 = -1

However, since the equation is not true (2 does not equal -1), there is no solution to this equation.

Answer 13

To solve for x in the equation x/5 = -15 8, we'll first simplify and isolate x.

Adding the negative value 15 8 to both sides of the equation, we have:

x/5 + 15 8 = 0

Next, we need to convert 15 8 into a fraction. 15 is the whole number and 8 is the fractional part. So, 15 8 can also be written as 15 + 8.

Thus, the equation becomes:

x/5 + 151 8 = 0

To add the fractions, we'll first find a common denominator, which is 8 for 5 and 151 8.

Converting 5 to an equivalent fraction with a denominator of 8, we get 40/8.

Therefore, the equation becomes:

x/40 + 151 8 = 0

To combine the fractions, we add the numerators and put them over the common denominator:

(x + 151)/40 = 0

Now, to solve for x, we'll multiply both sides of the equation by 40:

40(x + 151)/40 = 0 * 40
x + 151 = 0

Finally, to isolate x, we'll subtract 151 from both sides of the equation:

x + 151 - 151 = 0 - 151
x = -151

The solution to the equation is x = -151.

Answer 14

To solve for x in the equation x/5 = -15 - 8, we'll first simplify and isolate x.

Subtracting -15 and -8 on the right side of the equation:

x/5 = -15 - 8

Simplifying:

x/5 = -23

Next, to eliminate the fraction, we'll multiply both sides of the equation by 5:

5 * (x/5) = -23 * 5

Simplifying:

x = -115

The solution to the equation is x = -115.

Answer 15

To solve for x in the equation x/5 = -15 + 8, we'll first simplify and isolate x.

Adding -15 and 8 on the right side of the equation:

x/5 = -7

Next, to eliminate the fraction, we'll multiply both sides of the equation by 5:

5 * (x/5) = -7 * 5

Simplifying:

x = -35

The solution to the equation is x = -35.

Answer 16

Let's solve the equation step by step:

2(6x - 2) = 10x

First, we'll distribute the 2 on the left side:

12x - 4 = 10x

Next, let's simplify and isolate the variable terms by subtracting 10x from both sides:

12x - 10x - 4 = 10x - 10x

2x - 4 = 0

Now, let's isolate the constant terms by adding 4 to both sides:

2x - 4 + 4 = 0 + 4

2x = 4

To find the value of x, we'll divide both sides by 2:

2x/2 = 4/2

x = 2

The solution to the equation is x = 2.

Answer 17

To solve the equation x/6 - 5 = -12, we'll first simplify and isolate x.

Adding 5 to both sides of the equation:

x/6 - 5 + 5 = -12 + 5

x/6 = -7

Next, to eliminate the fraction, we'll multiply both sides of the equation by 6:

6 * (x/6) = -7 * 6

Canceling out the 6 on the left side:

x = -42

The solution to the equation is x = -42.

Answer 18

To solve this equation, let's start by simplifying each side of the equation:

6(x + 2) - (6x + 12) = 0

Distributing the 6 on the left side:

6x + 12 - (6x + 12) = 0

Next, simplify the expressions within the parentheses:

6x + 12 - 6x - 12 = 0

Combining like terms:

(6x - 6x) + (12 - 12) = 0

Both terms simplify to zero:

0 + 0 = 0

Therefore, the equation is true for any value of x. This means that the solution is any real number.

Answer 19

To solve this equation, let's distribute the 5 on the left side:

5(x + 3) = (5x + 15)

This gives us:

5x + 15 = 5x + 15

Now, let's simplify and isolate the variable terms by subtracting 5x from both sides:

5x - 5x + 15 = 5x - 5x + 15

This simplifies to:

15 = 15

Since 15 is equal to 15, this equation is true for any value of x. Therefore, the solution is any real number.

Answer 20

To solve this equation, let's simplify and isolate x.

Start by simplifying -28 + 6 on the right side:

x + 2 = -22

Next, to isolate x, subtract 2 from both sides of the equation:

x + 2 - 2 = -22 - 2

This simplifies to:

x = -24

Therefore, the solution to the equation is x = -24.

Answer 21

Let's solve the equation step by step:

2(6x - 8) = 13x

First, distribute the 2 on the left side of the equation:

12x - 16 = 13x

Next, simplify and isolate the variable terms by subtracting 13x from both sides of the equation:

12x - 13x - 16 = 13x - 13x

-x - 16 = 0

Now, isolate the constant term by adding 16 to both sides of the equation:

-x - 16 + 16 = 0 + 16

-x = 16

Finally, multiply both sides of the equation by -1 to solve for x:

(-1)(-x) = (-1)(16)

x = -16

The solution to the equation is x = -16.