Question
$$34x+51 = 50x-45$$
Answer
$$ x = 6 $$
Explanation
$$ \begin{aligned} 34x+51 &= 50x-45&& \text{move the $ \color{blue}{ 50x } $ to the left side and $ \color{blue}{ 51 }$ to the right} \\[1 em]34x-50x &= -45-51&& \text{simplify left and right hand side} \\[1 em]-16x &= -96&& \text{ divide both sides by $ -16 $ } \\[1 em]x &= \frac{-96}{-16}&& \\[1 em]x &= 6&& \\[1 em] \end{aligned} $$
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