Question

Determine which expressions, if any, are equivalent. Show your work. 4(x - 3)

6x - 2(x - 3)
x + 3(x - 2) - 6

Answer 1

4(x - 3) and x + 3(x-2) - 6 are equivalent.

Explanation:

4(x - 3) = 4x - 12

6x - 2(x - 3) = 6x - 2x + 6 = 4x + 6

x + 3(x - 2) - 6 = x + 3x - 6 - 6 = 4x - 12