Question
$$6x+19 = 7x+15$$
Answer
$$ x = 4 $$
Explanation
$$ \begin{aligned} 6x+19 &= 7x+15&& \text{move the $ \color{blue}{ 7x } $ to the left side and $ \color{blue}{ 19 }$ to the right} \\[1 em]6x-7x &= 15-19&& \text{simplify left and right hand side} \\[1 em]-x &= -4&& \text{switch signs on both sides} \\[1 em]x &= 4&& \\[1 em] \end{aligned} $$
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