$$ \begin{aligned} 25(4x-3)-2x &= 45-x&& \text{simplify left and right hand side} \\[1 em]100x-75-2x &= -x+45&& \\[1 em]98x-75 &= -x+45&& \text{move the $ \color{blue}{ -x } $ to the left side and $ \color{blue}{ -75 }$ to the right} \\[1 em]98x+x &= 45+75&& \text{simplify left and right hand side} \\[1 em]99x &= 120&& \text{ divide both sides by $ 99 $ } \\[1 em]x &= \frac{120}{99}&& \\[1 em]x &= \frac{40}{33}&& \\[1 em] \end{aligned} $$

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