$$ \begin{aligned} 2x-12 &= 3+x&& \text{move the $ \color{blue}{ x } $ to the left side and $ \color{blue}{ -12 }$ to the right} \\[1 em]2x-x &= 3+12&& \text{simplify left and right hand side} \\[1 em]x &= 15&& \\[1 em]x &= 15&& \\[1 em] \end{aligned} $$