Question
$$2x-3 = 5x+7$$
Answer
$$ x = -\dfrac{10}{3} $$
Explanation
$$ \begin{aligned} 2x-3 &= 5x+7&& \text{move the $ \color{blue}{ 5x } $ to the left side and $ \color{blue}{ -3 }$ to the right} \\[1 em]2x-5x &= 7+3&& \text{simplify left and right hand side} \\[1 em]-3x &= 10&& \text{ divide both sides by $ -3 $ } \\[1 em]x &= -\frac{10}{3}&& \\[1 em] \end{aligned} $$
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