A. Given the equation 4x + 7 = 3(2x − 5), solve for the variable. Explain each step and justify your process.
B. Sam solved a similar equation below. Is Sam's solution correct? Explain why or why not.

5x − 1 = 2(x + 4)
5x − 1 = 2x + 8
7x − 1 = 8
7x = 7
x = 1

Question

A. Given the equation 4x + 7 = 3(2x − 5), solve for the variable. Explain each step and justify your process.
B. Sam solved a similar equation below. Is Sam's solution correct? Explain why or why not.

5x − 1 = 2(x + 4)
5x − 1 = 2x + 8
7x − 1 = 8
       7x = 7
        x = 1

tkhunny · Answer

Well, do it?  What's preventing you from taking the first step?

ashy98 · Answer

Part A: 4x + 7 = 6x - 15

4x - 6x = 15 - 7 (Collect all like terms)

-2x = 8 (divide both side by -2)

x = -4

anonymous · Answer

Part A: x=11

4x+7=6x-15 [Distributive Property]
4x=6x-22 [Subtract 7 from both sides]
-2x=-22 [Subtract 6x from both sides]
x=11 [Divide Both sides by -2]

Part B: Sam is incorrect

Sam got the first step right but he messed up the second, he added 2x on both sides to get 7x on the left when in fact he should've subtracted 2x to give him 3x on both sides