Answer
The solution is -$\frac{4}{11}$
Work Step by Step
5x + $\frac{1}{11}$ - 4x = $\frac{2}{11}$ - $\frac{5}{11}$ Simplify
5x- 4x +$\frac{1}{11}$ = $\frac{2-5}{11}$
x + $\frac{1}{11}$ = $\frac{-3}{11}$
Subtract $\frac{1}{11}$ from both sides
x +$\frac{1}{11}$ -$\frac{1}{11}$ = -$\frac{3}{11}$ - $\frac{1}{11}$
x= $\frac{-3-1}{11}$
x=$\frac{-4}{11}$
The solution is $\frac{-4}{11}$
Check
Replace x with $\frac{-4}{11}$
5x + $\frac{1}{11}$ -4x= $\frac{2}{11}$- $\frac{5}{11}$
5$\times$ $\frac{-4}{11}$ + $\frac{1}{11}$ - 4$\times$$\frac{-4}{11}$= $\frac{2}{11}$ -$\frac{5}{11}$
$\frac{5\times-4}{11}$ +$\frac{1}{11}$ - $\frac{4\times-4}{11}$= $\frac{2-5}{11}$
-$\frac{20}{11}$ + $\frac{1}{11}$ + $\frac{16}{11}$= -$\frac{3}{5}$
$\frac{-20+1+16}{11}$ = -$\frac{3}{11}$
$\frac{-3}{5}$ = -$\frac{3}{11}$
