Solve 1/2x-1/3=3/4

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

Solve for x

$$x = \frac{13}{6} = 2\frac{1}{6} \approx 2.166666667$$

Steps for Solving Linear Equation

Add \frac{1}{3} to both sides.

$$\frac{1}{2}x=\frac{3}{4}+\frac{1}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{3}{4} and \frac{1}{3} to fractions with denominator 12.

$$\frac{1}{2}x=\frac{9}{12}+\frac{4}{12}$$

Since \frac{9}{12} and \frac{4}{12} have the same denominator, add them by adding their numerators.

$$\frac{1}{2}x=\frac{9+4}{12}$$

Add 9 and 4 to get 13.

$$\frac{1}{2}x=\frac{13}{12}$$

Multiply both sides by 2, the reciprocal of \frac{1}{2}.

$$x=\frac{13}{12}\times 2$$

Express \frac{13}{12}\times 2 as a single fraction.

$$x=\frac{13\times 2}{12}$$

Multiply 13 and 2 to get 26.

$$x=\frac{26}{12}$$

Reduce the fraction \frac{26}{12} to lowest terms by extracting and canceling out 2.

$$x=\frac{13}{6}$$