Question
$$4x+6 = 7x-15$$
Answer
$$ x = 7 $$
Explanation
$$ \begin{aligned} 4x+6 &= 7x-15&& \text{move the $ \color{blue}{ 7x } $ to the left side and $ \color{blue}{ 6 }$ to the right} \\[1 em]4x-7x &= -15-6&& \text{simplify left and right hand side} \\[1 em]-3x &= -21&& \text{ divide both sides by $ -3 $ } \\[1 em]x &= \frac{-21}{-3}&& \\[1 em]x &= 7&& \\[1 em] \end{aligned} $$
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