Question
$$4x+5 = 6x-2$$
Answer
$$ x = \dfrac{7}{2} $$
Explanation
$$ \begin{aligned} 4x+5 &= 6x-2&& \text{move the $ \color{blue}{ 6x } $ to the left side and $ \color{blue}{ 5 }$ to the right} \\[1 em]4x-6x &= -2-5&& \text{simplify left and right hand side} \\[1 em]-2x &= -7&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= \frac{-7}{-2}&& \\[1 em]x &= \frac{7}{2}&& \\[1 em] \end{aligned} $$
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