Solve - 3x + 12 = x - 4.

Show each step of your work.

Answer x=4

Step-by-step explanation

-3x+12=x-4

+3x + 3x

12=4x-4

+4 + 4

16=4x

16/4=4x/4

x=4

-3x+12=x-4

move x to the other side

sign changes from + x to - x

-3x-x+12=x-x-4

-3x-x=-4x (combine like terms)

-4x+12=x-x-4

-4x+12=-4

move + 12 to the other side

sign changes from + 12 to - 12

-4x+12-12=-4-12

-4x=-4-12

-4x=-16

divide both sides by - 4 to get + x

-4x/-4=-16/-4

Cross out - 4 and - 4, divide by 4. Then becomes - 1*-1*x=x

divide by - 4 for - 16/-4

-16/-4=4

-4/-4=1

4*1=4

Answer:

x=4