Question
$$6x-16 = 9x+15$$
Answer
$$ x = -\dfrac{31}{3} $$
Explanation
$$ \begin{aligned} 6x-16 &= 9x+15&& \text{move the $ \color{blue}{ 9x } $ to the left side and $ \color{blue}{ -16 }$ to the right} \\[1 em]6x-9x &= 15+16&& \text{simplify left and right hand side} \\[1 em]-3x &= 31&& \text{ divide both sides by $ -3 $ } \\[1 em]x &= -\frac{31}{3}&& \\[1 em] \end{aligned} $$
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