Question

What is the justification for each step in the solution of the equation?

−2(x−1)+12=4x−6−2(x−1)+12=4x−6
Select from the drop-down menus to correctly justify each step.


−2(x−1)+12=4x−6−2(x−1)+12=4x−6 Given
−2x+2+12=4x−6−2x+2+12=4x−6
−2x+14=4x−6−2x+14=4x−6 Combine like terms.
−2x=4x−20−2x=4x−20
−6x=−20−6x=−20 Addition or Subtraction Property of Equality
x=206x=206
x=103x=103 Simplify.

Answer 1

Explanation:

Answer 2

Here are the following justifications:

Given: -2 (x-1) +12=4x-6

Distribute property = -2x+2+12=4x-6

Combine like terms= -2x+14=4x-6

Transpose = -2x = 4x – 20

Addition or Subtraction Property of Equality = -6x = -20

Division property of equality = x = 20/6

Simplify = x = 10/3