Question
$$10x+7 = 4x-11$$
Answer
$$ x = -3 $$
Explanation
$$ \begin{aligned} 10x+7 &= 4x-11&& \text{move the $ \color{blue}{ 4x } $ to the left side and $ \color{blue}{ 7 }$ to the right} \\[1 em]10x-4x &= -11-7&& \text{simplify left and right hand side} \\[1 em]6x &= -18&& \text{ divide both sides by $ 6 $ } \\[1 em]x &= -\frac{18}{6}&& \\[1 em]x &= -3&& \\[1 em] \end{aligned} $$
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