Answer
$x=1\frac{9}{11}$
Work Step by Step
Solve for x.
$\frac{x}{5}-\frac{x}{4}=\frac{x-2}{2}$
Multiply each side by 20, the least common multiple, to convert fractions to whole numbers.
$20\times(\frac{x}{5}-\frac{x}{4})=20\times(\frac{x-2}{2})$
Apply the distributive property.
$4x-5x=10(x-2)$
$-x=10x-20$
Subtract 10x from each side.
$-x-10x=10x-20-10x$
$-11x=-20$
Divide each side by -11.
$-11x\div-11=-20\div-11$
$x=\frac{20}{11}$
$x=1\frac{9}{11}$
