$$ \begin{aligned} 4x-7 &= 8x+334x-7&& \text{simplify right side} \\[1 em]4x-7 &= 342x-7&& \text{move the $ \color{blue}{ 342x } $ to the left side and $ \color{blue}{ -7 }$ to the right} \\[1 em]4x-342x &= -7+7&& \text{simplify left and right hand side} \\[1 em]-338x &= 0&& \text{ divide both sides by $ -338 $ } \\[1 em]x &= \frac{0}{-338}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$

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