Question
$$15x+17 = 6x+10$$
Answer
$$ x = -\dfrac{7}{9} $$
Explanation
$$ \begin{aligned} 15x+17 &= 6x+10&& \text{move the $ \color{blue}{ 6x } $ to the left side and $ \color{blue}{ 17 }$ to the right} \\[1 em]15x-6x &= 10-17&& \text{simplify left and right hand side} \\[1 em]9x &= -7&& \text{ divide both sides by $ 9 $ } \\[1 em]x &= -\frac{7}{9}&& \\[1 em] \end{aligned} $$
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