$$ \begin{aligned} (5x-1)(x+3)-(x-2)(5x-4) &= 0&& \text{simplify left side} \\[1 em]5x^2+15x-x-3-(5x^2-4x-10x+8) &= 0&& \\[1 em]5x^2+14x-3-(5x^2-14x+8) &= 0&& \\[1 em]5x^2+14x-3-5x^2+14x-8 &= 0&& \\[1 em]5x^2+14x-3-5x^2+14x-8 &= 0&& \\[1 em]28x-11 &= 0&& \text{ move the constants to the right } \\[1 em]28x &= 11&& \text{ divide both sides by $ 28 $ } \\[1 em]x &= \frac{11}{28}&& \\[1 em] \end{aligned} $$

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