Question
$$15x+3 = 7x-13$$
Answer
$$ x = -2 $$
Explanation
$$ \begin{aligned} 15x+3 &= 7x-13&& \text{move the $ \color{blue}{ 7x } $ to the left side and $ \color{blue}{ 3 }$ to the right} \\[1 em]15x-7x &= -13-3&& \text{simplify left and right hand side} \\[1 em]8x &= -16&& \text{ divide both sides by $ 8 $ } \\[1 em]x &= -\frac{16}{8}&& \\[1 em]x &= -2&& \\[1 em] \end{aligned} $$
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