Question
$$2x+9 = 48-6x$$
Answer
$$ x = \dfrac{39}{8} $$
Explanation
$$ \begin{aligned} 2x+9 &= 48-6x&& \text{move the $ \color{blue}{ -6x } $ to the left side and $ \color{blue}{ 9 }$ to the right} \\[1 em]2x+6x &= 48-9&& \text{simplify left and right hand side} \\[1 em]8x &= 39&& \text{ divide both sides by $ 8 $ } \\[1 em]x &= \frac{39}{8}&& \\[1 em] \end{aligned} $$
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