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