$$ \begin{aligned} 7(x-2)+5 &= 3(2x-1)+1&& \text{simplify left and right hand side} \\[1 em]7x-14+5 &= 6x-3+1&& \\[1 em]7x-9 &= 6x-2&& \text{move the $ \color{blue}{ 6x } $ to the left side and $ \color{blue}{ -9 }$ to the right} \\[1 em]7x-6x &= -2+9&& \text{simplify left and right hand side} \\[1 em]x &= 7&& \\[1 em]x &= 7&& \\[1 em] \end{aligned} $$

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