$$ \begin{aligned} 5(2x-3)+7 &= 3(3x+2)-4&& \text{simplify left and right hand side} \\[1 em]10x-15+7 &= 9x+6-4&& \\[1 em]10x-8 &= 9x+2&& \text{move the $ \color{blue}{ 9x } $ to the left side and $ \color{blue}{ -8 }$ to the right} \\[1 em]10x-9x &= 2+8&& \text{simplify left and right hand side} \\[1 em]x &= 10&& \\[1 em]x &= 10&& \\[1 em] \end{aligned} $$

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