Solve x*2/3-7/8=5/4-1/8

$$x \cdot \frac { 2 } { 3 } - \frac { 7 } { 8 } = \frac { 5 } { 4 } - \frac { 1 } { 8 }$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Least common multiple of 4 and 8 is 8. Convert \frac{5}{4} and \frac{1}{8} to fractions with denominator 8.

$$x\times \frac{2}{3}-\frac{7}{8}=\frac{10}{8}-\frac{1}{8}$$

Since \frac{10}{8} and \frac{1}{8} have the same denominator, subtract them by subtracting their numerators.

$$x\times \frac{2}{3}-\frac{7}{8}=\frac{10-1}{8}$$

Subtract 1 from 10 to get 9.

$$x\times \frac{2}{3}-\frac{7}{8}=\frac{9}{8}$$

Add \frac{7}{8} to both sides.

$$x\times \frac{2}{3}=\frac{9}{8}+\frac{7}{8}$$

Since \frac{9}{8} and \frac{7}{8} have the same denominator, add them by adding their numerators.

$$x\times \frac{2}{3}=\frac{9+7}{8}$$

Add 9 and 7 to get 16.

$$x\times \frac{2}{3}=\frac{16}{8}$$

Divide 16 by 8 to get 2.

$$x\times \frac{2}{3}=2$$

Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.

$$x=2\times \frac{3}{2}$$

Cancel out 2 and 2.

$$x=3$$