Solve 2/3-x=7/24

$$\frac { 2 } { 3 } - x = \frac { 7 } { 24 }$$

Solve for x

$$x=\frac{3}{8}=0.375$$

Steps for Solving Linear Equation

Subtract \frac{2}{3} from both sides.

$$-x=\frac{7}{24}-\frac{2}{3}$$

Least common multiple of 24 and 3 is 24. Convert \frac{7}{24} and \frac{2}{3} to fractions with denominator 24.

$$-x=\frac{7}{24}-\frac{16}{24}$$

Since \frac{7}{24} and \frac{16}{24} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{7-16}{24}$$

Subtract 16 from 7 to get -9.

$$-x=\frac{-9}{24}$$

Reduce the fraction \frac{-9}{24} to lowest terms by extracting and canceling out 3.

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

Multiply both sides by -1.

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