$$4x-5 = 6x-15$$
Answer
$$ x = 5 $$
Explanation
$$ \begin{aligned} 4x-5 &= 6x-15&& \text{move the $ \color{blue}{ 6x } $ to the left side and $ \color{blue}{ -5 }$ to the right} \\[1 em]4x-6x &= -15+5&& \text{simplify left and right hand side} \\[1 em]-2x &= -10&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= \frac{-10}{-2}&& \\[1 em]x &= 5&& \\[1 em] \end{aligned} $$
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