$$ \begin{aligned} 5(x+5)+5 &= 9(x+2)&& \text{simplify left and right hand side} \\[1 em]5x+25+5 &= 9x+18&& \\[1 em]5x+30 &= 9x+18&& \text{move the $ \color{blue}{ 9x } $ to the left side and $ \color{blue}{ 30 }$ to the right} \\[1 em]5x-9x &= 18-30&& \text{simplify left and right hand side} \\[1 em]-4x &= -12&& \text{ divide both sides by $ -4 $ } \\[1 em]x &= \frac{-12}{-4}&& \\[1 em]x &= 3&& \\[1 em] \end{aligned} $$

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