Solve x*(3/4-2/3)=5/6

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

Solve for x

$$x=10$$

Steps for Solving Linear Equation

Least common multiple of 4 and 3 is 12. Convert \frac{3}{4} and \frac{2}{3} to fractions with denominator 12.

$$x\left(\frac{9}{12}-\frac{8}{12}\right)=\frac{5}{6}$$

Since \frac{9}{12} and \frac{8}{12} have the same denominator, subtract them by subtracting their numerators.

$$x\times \frac{9-8}{12}=\frac{5}{6}$$

Subtract 8 from 9 to get 1.

$$x\times \frac{1}{12}=\frac{5}{6}$$

Multiply both sides by 12, the reciprocal of \frac{1}{12}.

$$x=\frac{5}{6}\times 12$$

Express \frac{5}{6}\times 12 as a single fraction.

$$x=\frac{5\times 12}{6}$$

Multiply 5 and 12 to get 60.

$$x=\frac{60}{6}$$

Divide 60 by 6 to get 10.

$$x=10$$