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

A. Given the equation 4x + 7 = 3(2x − 5), solve for the variable. 
4x + 7 = 3(2x − 5)
4x + 7 = 6x - 15 (distributive property of multiplication)
4x - 6x = -15 - 7 (transitive property)
-2x = -22
x = 11

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

Sam's solution is incorrect, this is the correct solution
5x − 1 = 2(x + 4)
5x − 1 = 2x + 8
5x − 2x = 8 + 1
3x = 9
x = 3