$$ \begin{aligned} 4x\cdot2-7\cdot(2-x) &= 3x+2&& \text{simplify left side} \\[1 em]8x-7\cdot(2-x) &= 3x+2&& \\[1 em]8x-(14-7x) &= 3x+2&& \\[1 em]8x-14+7x &= 3x+2&& \\[1 em]15x-14 &= 3x+2&& \text{move the $ \color{blue}{ 3x } $ to the left side and $ \color{blue}{ -14 }$ to the right} \\[1 em]15x-3x &= 2+14&& \text{simplify left and right hand side} \\[1 em]12x &= 16&& \text{ divide both sides by $ 12 $ } \\[1 em]x &= \frac{16}{12}&& \\[1 em]x &= \frac{4}{3}&& \\[1 em] \end{aligned} $$

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