An equation is shown below:
6(2x – 11) + 15 = 3x + 12
part a: write the steps you will use to solve the equation, and explain each step. (6 points)
part b: what value of x makes the equation true? (4 points)

I am going to use DCVIMS.

I would first distribute the parenthesis.
I would combine like terms.
I would put the variables on both sides.
I would do the inverse.
I would put my final answer.
Then substitute to check if it is correct! :D

6(2x−11)+15=3x+12

Simplify both sides of the equation.

6(2x−11)+15=3x+12

Simplify

6(2x−11)+15=3x+12

(6)(2x)+(6)(−11)+15=3x+12 (Distribute)

12x+−66+15=3x+12

(12x)+(−66+15)=3x+12 (Combine Like Terms)

12x+−51=3x+12

12x−51=3x+12

Subtract 3x from both sides.

12x−51−3x=3x+12−3x

9x−51=12

Add 51 to both sides.

9x−51+51=12+51

9x=63

Divide both sides by 9.

9x / 9 = 63 / 9

x=7

Plug in 7 to the orginal equation to make sure your answer is right!

Hope this helped! :D :D