Solve 2/3+5/3x=5/7

$$\frac { 2 } { 3 } + \frac { 5 } { 3 } x = \frac { 5 } { 7 }$$

Solve for x

$$x=\frac{1}{35}\approx 0.028571429$$

Steps for Solving Linear Equation

Subtract \frac{2}{3} from both sides.

$$\frac{5}{3}x=\frac{5}{7}-\frac{2}{3}$$

Least common multiple of 7 and 3 is 21. Convert \frac{5}{7} and \frac{2}{3} to fractions with denominator 21.

$$\frac{5}{3}x=\frac{15}{21}-\frac{14}{21}$$

Since \frac{15}{21} and \frac{14}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5}{3}x=\frac{15-14}{21}$$

Subtract 14 from 15 to get 1.

$$\frac{5}{3}x=\frac{1}{21}$$

Multiply both sides by \frac{3}{5}, the reciprocal of \frac{5}{3}.

$$x=\frac{1}{21}\times \frac{3}{5}$$

Multiply \frac{1}{21} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{1\times 3}{21\times 5}$$

Do the multiplications in the fraction \frac{1\times 3}{21\times 5}.

$$x=\frac{3}{105}$$

Reduce the fraction \frac{3}{105} to lowest terms by extracting and canceling out 3.

$$x=\frac{1}{35}$$