Solve 5/7-x=1/14

$$\frac { 5 } { 7 } - x = \frac { 1 } { 14 }$$

Solve for x

$$x=\frac{9}{14}\approx 0.642857143$$

Steps for Solving Linear Equation

Subtract \frac{5}{7} from both sides.

$$-x=\frac{1}{14}-\frac{5}{7}$$

Least common multiple of 14 and 7 is 14. Convert \frac{1}{14} and \frac{5}{7} to fractions with denominator 14.

$$-x=\frac{1}{14}-\frac{10}{14}$$

Since \frac{1}{14} and \frac{10}{14} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{1-10}{14}$$

Subtract 10 from 1 to get -9.

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

Multiply both sides by -1.

$$x=\frac{9}{14}$$