Question
$$5c-7 = 8c-4$$
Answer
$$ c = -1 $$
Explanation
$$ \begin{aligned} 5c-7 &= 8c-4&& \text{move the $ \color{blue}{ 8c } $ to the left side and $ \color{blue}{ -7 }$ to the right} \\[1 em]5c-8c &= -4+7&& \text{simplify left and right hand side} \\[1 em]-3c &= 3&& \text{ divide both sides by $ -3 $ } \\[1 em]c &= -\frac{3}{3}&& \\[1 em]c &= -1&& \\[1 em] \end{aligned} $$
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