$$4x-7 = 8x+33$$
Answer
$$ x = -10 $$
Explanation
$$ \begin{aligned} 4x-7 &= 8x+33&& \text{move the $ \color{blue}{ 8x } $ to the left side and $ \color{blue}{ -7 }$ to the right} \\[1 em]4x-8x &= 33+7&& \text{simplify left and right hand side} \\[1 em]-4x &= 40&& \text{ divide both sides by $ -4 $ } \\[1 em]x &= -\frac{40}{4}&& \\[1 em]x &= -10&& \\[1 em] \end{aligned} $$
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