Question

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

Answer 1

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