$$ \begin{aligned} (x+1)\cdot2 &= x\cdot2-5x&& \text{simplify left and right hand side} \\[1 em]2x+2 &= x\cdot2-5x&& \\[1 em]2x+2 &= -3x&& \text{move the $ \color{blue}{ -3x } $ to the left side and $ \color{blue}{ 2 }$ to the right} \\[1 em]2x+3x &= -2&& \text{simplify left side} \\[1 em]5x &= -2&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= -\frac{2}{5}&& \\[1 em] \end{aligned} $$

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