$$11x+10 = 6x-30$$
Answer
$$ x = -8 $$
Explanation
$$ \begin{aligned} 11x+10 &= 6x-30&& \text{move the $ \color{blue}{ 6x } $ to the left side and $ \color{blue}{ 10 }$ to the right} \\[1 em]11x-6x &= -30-10&& \text{simplify left and right hand side} \\[1 em]5x &= -40&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= -\frac{40}{5}&& \\[1 em]x &= -8&& \\[1 em] \end{aligned} $$
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