Question
$$3x+5 = 10x-7$$
Answer
$$ x = \dfrac{12}{7} $$
Explanation
$$ \begin{aligned} 3x+5 &= 10x-7&& \text{move the $ \color{blue}{ 10x } $ to the left side and $ \color{blue}{ 5 }$ to the right} \\[1 em]3x-10x &= -7-5&& \text{simplify left and right hand side} \\[1 em]-7x &= -12&& \text{ divide both sides by $ -7 $ } \\[1 em]x &= \frac{-12}{-7}&& \\[1 em]x &= \frac{12}{7}&& \\[1 em] \end{aligned} $$
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