Solve 7/8-3x=5/16

$$\frac { 7 } { 8 } - 3 x = \frac { 5 } { 16 }$$

Solve for x

$$x=\frac{3}{16}=0.1875$$

Steps for Solving Linear Equation

Subtract \frac{7}{8} from both sides.

$$-3x=\frac{5}{16}-\frac{7}{8}$$

Least common multiple of 16 and 8 is 16. Convert \frac{5}{16} and \frac{7}{8} to fractions with denominator 16.

$$-3x=\frac{5}{16}-\frac{14}{16}$$

Since \frac{5}{16} and \frac{14}{16} have the same denominator, subtract them by subtracting their numerators.

$$-3x=\frac{5-14}{16}$$

Subtract 14 from 5 to get -9.

$$-3x=-\frac{9}{16}$$

Divide both sides by -3.

$$x=\frac{-\frac{9}{16}}{-3}$$

Express \frac{-\frac{9}{16}}{-3} as a single fraction.

$$x=\frac{-9}{16\left(-3\right)}$$

Multiply 16 and -3 to get -48.

$$x=\frac{-9}{-48}$$

Reduce the fraction \frac{-9}{-48} to lowest terms by extracting and canceling out -3.

$$x=\frac{3}{16}$$