$$ \begin{aligned} 5\cdot(2+x)-2(4x-2) &= 2x&& \text{simplify left side} \\[1 em]10+5x-(8x-4) &= 2x&& \\[1 em]10+5x-8x+4 &= 2x&& \\[1 em]-3x+14 &= 2x&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ 14 }$ to the right} \\[1 em]-3x-2x &= -14&& \text{simplify left side} \\[1 em]-5x &= -14&& \text{ divide both sides by $ -5 $ } \\[1 em]x &= \frac{-14}{-5}&& \\[1 em]x &= \frac{14}{5}&& \\[1 em] \end{aligned} $$

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