Given the equation :
[tex]|2x+12|=4x[/tex]So,
[tex]\begin{gathered} 2x+12=4x\text{ OR -(2x+12)=4x} \\ \end{gathered}[/tex]For the first possible solution :
[tex]\begin{gathered} 2x+12=4x \\ 12=4x-2x \\ 12=2x \\ \\ x=\frac{12}{2}=6 \end{gathered}[/tex]For the second possible solution:
[tex]\begin{gathered} -(2x+12)=4x \\ -2x-12=4x \\ -12=4x+2x \\ -12=6x \\ \\ x=-\frac{12}{6}=-2 \end{gathered}[/tex]So, the answer is : x = 6 or x = -2
Note: the solution is extraneous because for the case if x = -2
The right side will be equal 4 * -2 = -8, and this is not logic because the output of the absolute value must be positive
