Solve 3/7x-3/8=3/5

$$\frac { 3 } { 7 } x - \frac { 3 } { 8 } = \frac { 3 } { 5 }$$

Solve for x

$$x = \frac{91}{40} = 2\frac{11}{40} = 2.275$$

Steps for Solving Linear Equation

Add \frac{3}{8} to both sides.

$$\frac{3}{7}x=\frac{3}{5}+\frac{3}{8}$$

Least common multiple of 5 and 8 is 40. Convert \frac{3}{5} and \frac{3}{8} to fractions with denominator 40.

$$\frac{3}{7}x=\frac{24}{40}+\frac{15}{40}$$

Since \frac{24}{40} and \frac{15}{40} have the same denominator, add them by adding their numerators.

$$\frac{3}{7}x=\frac{24+15}{40}$$

Add 24 and 15 to get 39.

$$\frac{3}{7}x=\frac{39}{40}$$

Multiply both sides by \frac{7}{3}, the reciprocal of \frac{3}{7}.

$$x=\frac{39}{40}\times \frac{7}{3}$$

Multiply \frac{39}{40} times \frac{7}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{39\times 7}{40\times 3}$$

Do the multiplications in the fraction \frac{39\times 7}{40\times 3}.

$$x=\frac{273}{120}$$

Reduce the fraction \frac{273}{120} to lowest terms by extracting and canceling out 3.

$$x=\frac{91}{40}$$