$$ \begin{aligned} 3x+14 &= -5x+7&& \text{move the $ \color{blue}{ -5x } $ to the left side and $ \color{blue}{ 14 }$ to the right} \\[1 em]3x+5x &= 7-14&& \text{simplify left and right hand side} \\[1 em]8x &= -7&& \text{ divide both sides by $ 8 $ } \\[1 em]x &= -\frac{7}{8}&& \\[1 em] \end{aligned} $$
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