Solve 5/6x-3/4x1/2=2/3

$$\frac { 5 } { 6 } x - \frac { 3 } { 4 } x \frac { 1 } { 2 } = \frac { 2 } { 3 }$$

Solve for x

$$x = \frac{16}{11} = 1\frac{5}{11} \approx 1.454545455$$

Steps for Solving Linear Equation

Multiply \frac{3}{4} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{6}x-\frac{3\times 1}{4\times 2}x=\frac{2}{3}$$

Do the multiplications in the fraction \frac{3\times 1}{4\times 2}.

$$\frac{5}{6}x-\frac{3}{8}x=\frac{2}{3}$$

Combine \frac{5}{6}x and -\frac{3}{8}x to get \frac{11}{24}x.

$$\frac{11}{24}x=\frac{2}{3}$$

Multiply both sides by \frac{24}{11}, the reciprocal of \frac{11}{24}.

$$x=\frac{2}{3}\times \frac{24}{11}$$

Multiply \frac{2}{3} times \frac{24}{11} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{2\times 24}{3\times 11}$$

Do the multiplications in the fraction \frac{2\times 24}{3\times 11}.

$$x=\frac{48}{33}$$

Reduce the fraction \frac{48}{33} to lowest terms by extracting and canceling out 3.

$$x=\frac{16}{11}$$