Solve for x.

1/3(6x−9)=−33

A.x = -30

B.x = -15

C.x = -22

D,x = -19

21 answers

To solve for x, we will start by simplifying the equation:

1/3(6x - 9) = -33

First, we distribute 1/3 to both terms inside the parentheses:

2x - 3 = -33

Next, we add 3 to both sides to isolate the x term:

2x = -30

Finally, we divide both sides by 2 to solve for x:

x = -15

Therefore, the correct answer is B. x = -15.
Solve for x.

−3/5(15x−30)=198
To solve for x, we will start by simplifying the equation:

−3/5(15x − 30) = 198

First, we distribute -3/5 to both terms inside the parentheses:

-9x + 18 = 198

Next, we subtract 18 from both sides to isolate the x term:

-9x = 180

Finally, we divide both sides by -9 to solve for x:

x = -20

Therefore, the correct answer is x = -20.
Solve for x.

3(4x−12)=84
To solve for x, we will start by simplifying the equation:

3(4x - 12) = 84

First, we distribute 3 to both terms inside the parentheses:

12x - 36 = 84

Next, we add 36 to both sides to isolate the x term:

12x = 120

Finally, we divide both sides by 12 to solve for x:

x = 10

Therefore, the correct answer is x = 10.
Solve for x.

20(2x−8)=440
To solve for x, we will start by simplifying the equation:

20(2x - 8) = 440

First, we distribute 20 to both terms inside the parentheses:

40x - 160 = 440

Next, we add 160 to both sides to isolate the x term:

40x = 600

Finally, we divide both sides by 40 to solve for x:

x = 15

Therefore, the correct answer is x = 15.
Solve for x.

0.72=0.4(x+1.4)
To solve for x, we will start by simplifying the equation:

0.72 = 0.4(x + 1.4)

First, we distribute 0.4 to both terms inside the parentheses:

0.72 = 0.4x + 0.56

Next, we subtract 0.56 from both sides to isolate the x term:

0.72 - 0.56 = 0.4x

0.16 = 0.4x

Finally, we divide both sides by 0.4 to solve for x:

x = 0.16/0.4

x = 0.4

Therefore, the correct answer is x = 0.4.
Solve for x.

2(1.5x−7)=6
To solve for x, we will start by simplifying the equation:

2(1.5x - 7) = 6

First, we distribute 2 to both terms inside the parentheses:

3x - 14 = 6

Next, we add 14 to both sides to isolate the x term:

3x = 20

Finally, we divide both sides by 3 to solve for x:

x = 20/3

Therefore, the correct answer is x = 20/3 or x = 6.66667 (rounded to 5 decimal places).
Solve for x.

5x−2x+4=−5
To solve for x, we will start by simplifying the equation:

5x - 2x + 4 = -5

Combining like terms:

3x + 4 = -5

Next, we subtract 4 from both sides to isolate the x term:

3x = -9

Finally, we divide both sides by 3 to solve for x:

x = -3

Therefore, the correct answer is x = -3.
Solve for x.

9x+9x−21=33
To solve for x, we will start by simplifying the equation:

9x + 9x - 21 = 33

Combining like terms:

18x - 21 = 33

Next, we add 21 to both sides to isolate the x term:

18x = 54

Finally, we divide both sides by 18 to solve for x:

x = 3

Therefore, the correct answer is x = 3.
Solve for x.

14x−3x+11=−22
To solve for x, we will start by simplifying the equation:

14x - 3x + 11 = -22

Combining like terms:

11x + 11 = -22

Next, we subtract 11 from both sides to isolate the x term:

11x = -33

Finally, we divide both sides by 11 to solve for x:

x = -3

Therefore, the correct answer is x = -3.
At Mariah's birthday party, 9 of her friends ate 3/4
of her chocolate cake. How much of the cake did each friend eat?(1 point)
To find out how much of the cake each friend ate, we need to divide the total amount eaten by the number of friends.

Since 9 friends ate 3/4 of the cake, we can calculate how much each friend ate by dividing 3/4 by 9:

(3/4) / 9 = 3/4 * 1/9 = 3/36

Simplifying 3/36, we get:

1/12

Therefore, each friend ate 1/12 of the cake.
The product of 9 and the sum of a number and 8 is 180. What is the number?
Let's denote the number we are trying to find as "x".

The given equation is: 9(x + 8) = 180

First, we distribute 9 to both terms inside the parentheses:

9x + 72 = 180

Next, we subtract 72 from both sides to isolate the x term:

9x = 180 - 72

9x = 108

Finally, we divide both sides by 9 to solve for x:

x = 108 / 9

x = 12

Therefore, the number is 12.