$$ \begin{aligned} 2(x+2)+3x &= 2(x+1)+1&& \text{simplify left and right hand side} \\[1 em]2x+4+3x &= 2x+2+1&& \\[1 em]5x+4 &= 2x+3&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ 4 }$ to the right} \\[1 em]5x-2x &= 3-4&& \text{simplify left and right hand side} \\[1 em]3x &= -1&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= -\frac{1}{3}&& \\[1 em] \end{aligned} $$

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