$$6x+15 = 8x+45$$
Answer
$$ x = -15 $$
Explanation
$$ \begin{aligned} 6x+15 &= 8x+45&& \text{move the $ \color{blue}{ 8x } $ to the left side and $ \color{blue}{ 15 }$ to the right} \\[1 em]6x-8x &= 45-15&& \text{simplify left and right hand side} \\[1 em]-2x &= 30&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= -\frac{30}{2}&& \\[1 em]x &= -15&& \\[1 em] \end{aligned} $$
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