Solve 1/3x-3/4=5/12

$$\frac { 1 } { 3 } x - \frac { 3 } { 4 } = \frac { 5 } { 12 }$$

Solve for x

$$x = \frac{7}{2} = 3\frac{1}{2} = 3.5$$

Steps for Solving Linear Equation

Add \frac{3}{4} to both sides.

$$\frac{1}{3}x=\frac{5}{12}+\frac{3}{4}$$

Least common multiple of 12 and 4 is 12. Convert \frac{5}{12} and \frac{3}{4} to fractions with denominator 12.

$$\frac{1}{3}x=\frac{5}{12}+\frac{9}{12}$$

Since \frac{5}{12} and \frac{9}{12} have the same denominator, add them by adding their numerators.

$$\frac{1}{3}x=\frac{5+9}{12}$$

Add 5 and 9 to get 14.

$$\frac{1}{3}x=\frac{14}{12}$$

Reduce the fraction \frac{14}{12} to lowest terms by extracting and canceling out 2.

$$\frac{1}{3}x=\frac{7}{6}$$

Multiply both sides by 3, the reciprocal of \frac{1}{3}.

$$x=\frac{7}{6}\times 3$$

Express \frac{7}{6}\times 3 as a single fraction.

$$x=\frac{7\times 3}{6}$$

Multiply 7 and 3 to get 21.

$$x=\frac{21}{6}$$

Reduce the fraction \frac{21}{6} to lowest terms by extracting and canceling out 3.

$$x=\frac{7}{2}$$