Question
$$55c+13 = 75c+3$$
Answer
$$ c = \dfrac{1}{2} $$
Explanation
$$ \begin{aligned} 55c+13 &= 75c+3&& \text{move the $ \color{blue}{ 75c } $ to the left side and $ \color{blue}{ 13 }$ to the right} \\[1 em]55c-75c &= 3-13&& \text{simplify left and right hand side} \\[1 em]-20c &= -10&& \text{ divide both sides by $ -20 $ } \\[1 em]c &= \frac{-10}{-20}&& \\[1 em]c &= \frac{1}{2}&& \\[1 em] \end{aligned} $$
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