$$ \begin{aligned} 10x-38 &= 14x+10&& \text{move the $ \color{blue}{ 14x } $ to the left side and $ \color{blue}{ -38 }$ to the right} \\[1 em]10x-14x &= 10+38&& \text{simplify left and right hand side} \\[1 em]-4x &= 48&& \text{ divide both sides by $ -4 $ } \\[1 em]x &= -\frac{48}{4}&& \\[1 em]x &= -12&& \\[1 em] \end{aligned} $$
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