$$ \begin{aligned} x+3 &= 2x+4&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ 3 }$ to the right} \\[1 em]x-2x &= 4-3&& \text{simplify left and right hand side} \\[1 em]-x &= 1&& \text{switch signs on both sides} \\[1 em]x &= -1&& \\[1 em] \end{aligned} $$