Solve 8/9-x=11/14

$$\frac{ 8 }{ 9 } -x= \frac{ 11 }{ 14 }$$

Solve for x

$$x=\frac{13}{126}\approx 0.103174603$$

Steps for Solving Linear Equation

Subtract \frac{8}{9} from both sides.

$$-x=\frac{11}{14}-\frac{8}{9}$$

Least common multiple of 14 and 9 is 126. Convert \frac{11}{14} and \frac{8}{9} to fractions with denominator 126.

$$-x=\frac{99}{126}-\frac{112}{126}$$

Since \frac{99}{126} and \frac{112}{126} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{99-112}{126}$$

Subtract 112 from 99 to get -13.

$$-x=-\frac{13}{126}$$

Multiply both sides by -1.

$$x=\frac{13}{126}$$