Question

Absolute value of 2x plus 12 equals 4x

Answer 1

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.