Solve 5-n-2/25=-15/25

$$5 - n - \frac { 2 } { 25 } = - \frac { 15 } { 25 }$$

Solve for n

$$n = \frac{138}{25} = 5\frac{13}{25} = 5.52$$

Steps for Solving Linear Equation

Convert 5 to fraction \frac{125}{25}.

$$\frac{125}{25}-n-\frac{2}{25}=-\frac{15}{25}$$

Since \frac{125}{25} and \frac{2}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{125-2}{25}-n=-\frac{15}{25}$$

Subtract 2 from 125 to get 123.

$$\frac{123}{25}-n=-\frac{15}{25}$$

Reduce the fraction \frac{15}{25} to lowest terms by extracting and canceling out 5.

$$\frac{123}{25}-n=-\frac{3}{5}$$

Subtract \frac{123}{25} from both sides.

$$-n=-\frac{3}{5}-\frac{123}{25}$$

Least common multiple of 5 and 25 is 25. Convert -\frac{3}{5} and \frac{123}{25} to fractions with denominator 25.

$$-n=-\frac{15}{25}-\frac{123}{25}$$

Since -\frac{15}{25} and \frac{123}{25} have the same denominator, subtract them by subtracting their numerators.

$$-n=\frac{-15-123}{25}$$

Subtract 123 from -15 to get -138.

$$-n=-\frac{138}{25}$$

Multiply both sides by -1.

$$n=\frac{138}{25}$$