$$ \begin{aligned} 7(x+5) &= 2x&& \text{simplify left side} \\[1 em]7x+35 &= 2x&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ 35 }$ to the right} \\[1 em]7x-2x &= -35&& \text{simplify left side} \\[1 em]5x &= -35&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= -\frac{35}{5}&& \\[1 em]x &= -7&& \\[1 em] \end{aligned} $$

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