Answer
$x=\dfrac{13}{6}$
Work Step by Step
$\dfrac{2x-1}{x+2}=\dfrac{4}{5}$
We can apply cross-multiplication to solve this equation.
$5(2x-1)=4(x+2)$
Evaluate the products:
$10x-5=4x+8$
Take all the terms that include $x$ to the left and all other terms to the right:
$10x-4x=8+5$
Simplify and solve for $x$:
$6x=13$
$x=\dfrac{13}{6}$
