$$5(x+4) = 6(x-7)$$
Answer
$$ x = 62 $$
Explanation
$$ \begin{aligned} 5(x+4) &= 6(x-7)&& \text{simplify left and right hand side} \\[1 em]5x+20 &= 6x-42&& \text{move the $ \color{blue}{ 6x } $ to the left side and $ \color{blue}{ 20 }$ to the right} \\[1 em]5x-6x &= -42-20&& \text{simplify left and right hand side} \\[1 em]-x &= -62&& \text{switch signs on both sides} \\[1 em]x &= 62&& \\[1 em] \end{aligned} $$
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