Absolute value of 2x plus 12 equals 4x

2x+12=4x

Make two equations, and solve for x.

1. 2x+12 = 4x 2. 2x+12 = - 4x subtract 2x from both sides

12=2x 12 = - 6x

6=x - 2=x

plug in the x values to know if they are the solution for the eqaution.

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

12+12 = 24 - 4+12=8

24=24 8=8

The equation is true, it's all real numbers or infinite solutions.