$$ \begin{aligned} \frac{4x-11}{3x-2} &= 0&& \text{multiply ALL terms by } \color{blue}{ 3x-2 }. \\[1 em](3x-2)\frac{4x-11}{3x-2} &= (3x-2)\cdot0&& \text{cancel out the denominators} \\[1 em]4x-11 &= 0&& \text{ move the constants to the right } \\[1 em]4x &= 11&& \text{ divide both sides by $ 4 $ } \\[1 em]x &= \frac{11}{4}&& \\[1 em] \end{aligned} $$
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