Question
$$7x+42 = 22x-33$$
Answer
$$ x = 5 $$
Explanation
$$ \begin{aligned} 7x+42 &= 22x-33&& \text{move the $ \color{blue}{ 22x } $ to the left side and $ \color{blue}{ 42 }$ to the right} \\[1 em]7x-22x &= -33-42&& \text{simplify left and right hand side} \\[1 em]-15x &= -75&& \text{ divide both sides by $ -15 $ } \\[1 em]x &= \frac{-75}{-15}&& \\[1 em]x &= 5&& \\[1 em] \end{aligned} $$
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