Answer
n = $\frac{34}{3}$ $\approx$ 11.3
Work Step by Step
$\frac{2n-1}{5}$ - $\frac{n+2}{4}$ = 1
We need to change the denominator of all fractions to 20.
$\frac{2n-1}{5}$ $\times$ $\frac{4}{4}$- $\frac{n+2}{4}$ $\times$ $\frac{5}{5}$= 1 $\times$ $\frac{20}{20}$
$\frac{(2n-1)\times4}{20}$ - $\frac{(n+2)\times5}{20}$ = $\frac{20}{20}$
Multiply both sides by 20.
(2n-1) $\times$ 4 - (n+2) $\times$ 5 = 20
Use the distributive property.
8n - 4 -5n - 10 = 20
3n - 14 = 20
3n = 34
Divide both sides by 3.
n = $\frac{34}{3}$ $\approx$ 11.3
