Solve 5-n-2/2.5=-15/2.5

$$5 - n - \frac { 2 } { 2.5 } = - \frac { 15 } { 2.5 }$$

Solve for n

$$n=10.2$$

Steps for Solving Linear Equation

Expand \frac{2}{2.5} by multiplying both numerator and the denominator by 10.

$$5-n-\frac{20}{25}=-\frac{15}{2.5}$$

Reduce the fraction \frac{20}{25} to lowest terms by extracting and canceling out 5.

$$5-n-\frac{4}{5}=-\frac{15}{2.5}$$

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

$$\frac{25}{5}-n-\frac{4}{5}=-\frac{15}{2.5}$$

Since \frac{25}{5} and \frac{4}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-4}{5}-n=-\frac{15}{2.5}$$

Subtract 4 from 25 to get 21.

$$\frac{21}{5}-n=-\frac{15}{2.5}$$

Expand \frac{15}{2.5} by multiplying both numerator and the denominator by 10.

$$\frac{21}{5}-n=-\frac{150}{25}$$

Divide 150 by 25 to get 6.

$$\frac{21}{5}-n=-6$$

Subtract \frac{21}{5} from both sides.

$$-n=-6-\frac{21}{5}$$

Convert -6 to fraction -\frac{30}{5}.

$$-n=-\frac{30}{5}-\frac{21}{5}$$

Since -\frac{30}{5} and \frac{21}{5} have the same denominator, subtract them by subtracting their numerators.

$$-n=\frac{-30-21}{5}$$

Subtract 21 from -30 to get -51.

$$-n=-\frac{51}{5}$$

Multiply both sides by -1.

$$n=\frac{51}{5}$$