$$15x+6 = 10x-24$$
Answer
$$ x = -6 $$
Explanation
$$ \begin{aligned} 15x+6 &= 10x-24&& \text{move the $ \color{blue}{ 10x } $ to the left side and $ \color{blue}{ 6 }$ to the right} \\[1 em]15x-10x &= -24-6&& \text{simplify left and right hand side} \\[1 em]5x &= -30&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= -\frac{30}{5}&& \\[1 em]x &= -6&& \\[1 em] \end{aligned} $$
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