what should i do?

what is |2x-6|=6

$\begin{array}{rcll} |2x-6| &=&6 \qquad & \qquad \text{(square both sides)}\\ (2x-6)^2 &=& 6^2 \\ 4x^2-24x+36 &=& 36\\ 4x^2-24x &=& 0 \qquad & \qquad : 4\\ x^2-6x &=& 0 \\ x(x-6) &=& 0\\ x = 0 & \text{or} & x-6 = 0 \\ x = 0 & \text{or} & x = 6 \\ \end{array}$

|2x-6|=6   we have two equations, here

2x - 6   = 6            and         2x - 6  = -6

Add 6 to both sides

2x = 12                               2x  = 0 

Divide both sides by 2

x = 6            and                    x = 0