Question
$$4+6x = -3+7x$$
Answer
$$ x = 7 $$
Explanation
$$ \begin{aligned} 4+6x &= -3+7x&& \text{move the $ \color{blue}{ 7x } $ to the left side and $ \color{blue}{ 4 }$ to the right} \\[1 em]6x-7x &= -3-4&& \text{simplify left and right hand side} \\[1 em]-x &= -7&& \text{switch signs on both sides} \\[1 em]x &= 7&& \\[1 em] \end{aligned} $$
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