Question
$$3(x-2)+11 = 2x+8$$
Answer
$$ x = 3 $$
Explanation
$$ \begin{aligned} 3(x-2)+11 &= 2x+8&& \text{simplify left side} \\[1 em]3x-6+11 &= 2x+8&& \\[1 em]3x+5 &= 2x+8&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ 5 }$ to the right} \\[1 em]3x-2x &= 8-5&& \text{simplify left and right hand side} \\[1 em]x &= 3&& \\[1 em]x &= 3&& \\[1 em] \end{aligned} $$
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