$$7a-3 = 13a+7$$
Answer
$$ a = -\frac{5}{3} $$
Explanation
$$ \begin{aligned} 7a-3 &= 13a+7&& \text{move the $ \color{blue}{ 13a } $ to the left side and $ \color{blue}{ -3 }$ to the right} \\[1 em]7a-13a &= 7+3&& \text{simplify left and right hand side} \\[1 em]-6a &= 10&& \text{ divide both sides by $ -6 $ } \\[1 em]a &= -\frac{10}{6}&& \\[1 em]a &= -\frac{5}{3}&& \\[1 em] \end{aligned} $$
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