$$ \begin{aligned} 3(3x-2) &= 7(x+5)&& \text{simplify left and right hand side} \\[1 em]9x-6 &= 7x+35&& \text{move the $ \color{blue}{ 7x } $ to the left side and $ \color{blue}{ -6 }$ to the right} \\[1 em]9x-7x &= 35+6&& \text{simplify left and right hand side} \\[1 em]2x &= 41&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= \frac{41}{2}&& \\[1 em] \end{aligned} $$

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