$$-5x-5 = -3x+5$$
Answer
$$ x = -5 $$
Explanation
$$ \begin{aligned} -5x-5 &= -3x+5&& \text{move the $ \color{blue}{ -3x } $ to the left side and $ \color{blue}{ -5 }$ to the right} \\[1 em]-5x+3x &= 5+5&& \text{simplify left and right hand side} \\[1 em]-2x &= 10&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= -\frac{10}{2}&& \\[1 em]x &= -5&& \\[1 em] \end{aligned} $$
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