Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.1 - Ratios and Proportions - Problem Set 4.1 - Page 149: 52

$x=\dfrac{11}{5}$

By cross-multiplication, the value of the variable that satisfies the given equation, $ \dfrac{-3}{2x-5}=\dfrac{-4}{x-3} ,$ is \begin{array}{l}\require{cancel} -3(x-3)=-4(2x-5) \\\\ -3x+9=-8x+20 \\\\ -3x+8x=20-9 \\\\ 5x=11 \\\\ x=\dfrac{11}{5} .\end{array}