$$ \begin{aligned} 5(x-2) &= 6x+3x-14&& \text{simplify left and right hand side} \\[1 em]5x-10 &= 9x-14&& \text{move the $ \color{blue}{ 9x } $ to the left side and $ \color{blue}{ -10 }$ to the right} \\[1 em]5x-9x &= -14+10&& \text{simplify left and right hand side} \\[1 em]-4x &= -4&& \text{ divide both sides by $ -4 $ } \\[1 em]x &= \frac{-4}{-4}&& \\[1 em]x &= 1&& \\[1 em] \end{aligned} $$

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