Solve 13/14x-2/7=2/3

$$\frac { 13 } { 14 } x - \frac { 2 } { 7 } = \frac { 2 } { 3 }$$

Solve for x

$$x = \frac{40}{39} = 1\frac{1}{39} \approx 1.025641026$$

Steps for Solving Linear Equation

Add \frac{2}{7} to both sides.

$$\frac{13}{14}x=\frac{2}{3}+\frac{2}{7}$$

Least common multiple of 3 and 7 is 21. Convert \frac{2}{3} and \frac{2}{7} to fractions with denominator 21.

$$\frac{13}{14}x=\frac{14}{21}+\frac{6}{21}$$

Since \frac{14}{21} and \frac{6}{21} have the same denominator, add them by adding their numerators.

$$\frac{13}{14}x=\frac{14+6}{21}$$

Add 14 and 6 to get 20.

$$\frac{13}{14}x=\frac{20}{21}$$

Multiply both sides by \frac{14}{13}, the reciprocal of \frac{13}{14}.

$$x=\frac{20}{21}\times \frac{14}{13}$$

Multiply \frac{20}{21} times \frac{14}{13} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{20\times 14}{21\times 13}$$

Do the multiplications in the fraction \frac{20\times 14}{21\times 13}.

$$x=\frac{280}{273}$$

Reduce the fraction \frac{280}{273} to lowest terms by extracting and canceling out 7.

$$x=\frac{40}{39}$$