Solve 3/4x-1/8=5/8+1/8

$$\frac { 3 } { 4 } x - \frac { 1 } { 8 } = \frac { 5 } { 8 } + \frac { 1 } { 8 }$$

Solve for x

$$x = \frac{7}{6} = 1\frac{1}{6} \approx 1.166666667$$

Steps for Solving Linear Equation

Since \frac{5}{8} and \frac{1}{8} have the same denominator, add them by adding their numerators.

$$\frac{3}{4}x-\frac{1}{8}=\frac{5+1}{8}$$

Add 5 and 1 to get 6.

$$\frac{3}{4}x-\frac{1}{8}=\frac{6}{8}$$

Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.

$$\frac{3}{4}x-\frac{1}{8}=\frac{3}{4}$$

Add \frac{1}{8} to both sides.

$$\frac{3}{4}x=\frac{3}{4}+\frac{1}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{3}{4} and \frac{1}{8} to fractions with denominator 8.

$$\frac{3}{4}x=\frac{6}{8}+\frac{1}{8}$$

Since \frac{6}{8} and \frac{1}{8} have the same denominator, add them by adding their numerators.

$$\frac{3}{4}x=\frac{6+1}{8}$$

Add 6 and 1 to get 7.

$$\frac{3}{4}x=\frac{7}{8}$$

Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}.

$$x=\frac{7}{8}\times \frac{4}{3}$$

Multiply \frac{7}{8} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{7\times 4}{8\times 3}$$

Do the multiplications in the fraction \frac{7\times 4}{8\times 3}.

$$x=\frac{28}{24}$$

Reduce the fraction \frac{28}{24} to lowest terms by extracting and canceling out 4.

$$x=\frac{7}{6}$$