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)

Question

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)

whovianchick · Answer

Part A:

6(2x-11) + 15 = 3x +12
12x-66 + 15 = 3x+12               (distribute 6 times 2x and -11)
12x -51 = 3x+12                       (combine -66 and 15)
9x-51 = 12                              (subtract 3x from both sides)
9x = 63                                   (add 51 to both sides)
x= 7                                          (divide both sides by 9)

Part B:

x=7