Answer
The solution is $\frac{15}{14}$
Work Step by Step
9x - $\frac{2}{7}$ -8x = $\frac{11}{14}$
Simplify 9x-8x=x
x -$\frac{2}{7}$ = $\frac{11}{14}$
Add $\frac{2}{7}$ to both sides
x -$\frac{2}{7}$ + $\frac{2}{7}$ =$\frac{11}{14}$ +$\frac{2}{7}$
LCD of 7 and 14 is 14
x=$\frac{11}{14}$ + $\frac{4}{14}$
x=$\frac{11+4}{14}$
x=$\frac{15}{14}$
The solution is $\frac{15}{14}$
Check
9x -$\frac{2}{7}$ -8x=$\frac{11}{14}$
9$\times$$\frac{15}{14}$-$\frac{2}{7}$ -8$\times$$\frac{15}{14}$=$\frac{11}{14}$
$\frac{9\times45}{14}$ -$\frac{4}{14}$ - $\frac{8\times15}{14}$=$\frac{11}{14}$
$\frac{135-4-120}{14}$=$\frac{11}{14}$
$\frac{11}{14}$=$\frac{11}{14}$
