$$4x+22 = 8x+10$$
Answer
$$ x = 3 $$
Explanation
$$ \begin{aligned} 4x+22 &= 8x+10&& \text{move the $ \color{blue}{ 8x } $ to the left side and $ \color{blue}{ 22 }$ to the right} \\[1 em]4x-8x &= 10-22&& \text{simplify left and right hand side} \\[1 em]-4x &= -12&& \text{ divide both sides by $ -4 $ } \\[1 em]x &= \frac{-12}{-4}&& \\[1 em]x &= 3&& \\[1 em] \end{aligned} $$
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