Solve (p+2.5)*80%=14

$$( p + 2.5 ) \times 80 \% = 14$$

Solve for p

$$p=15$$

Steps for Solving Linear Equation

Reduce the fraction \frac{80}{100} to lowest terms by extracting and canceling out 20.

$$\left(p+2.5\right)\times \frac{4}{5}=14$$

Use the distributive property to multiply p+2.5 by \frac{4}{5}.

$$p\times \frac{4}{5}+2.5\times \frac{4}{5}=14$$

Convert decimal number 2.5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$p\times \frac{4}{5}+\frac{5}{2}\times \frac{4}{5}=14$$

Multiply \frac{5}{2} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$p\times \frac{4}{5}+\frac{5\times 4}{2\times 5}=14$$

Cancel out 5 in both numerator and denominator.

$$p\times \frac{4}{5}+\frac{4}{2}=14$$

Divide 4 by 2 to get 2.

$$p\times \frac{4}{5}+2=14$$

Subtract 2 from both sides.

$$p\times \frac{4}{5}=14-2$$

Subtract 2 from 14 to get 12.

$$p\times \frac{4}{5}=12$$

Multiply both sides by \frac{5}{4}, the reciprocal of \frac{4}{5}.

$$p=12\times \frac{5}{4}$$

Express 12\times \frac{5}{4} as a single fraction.

$$p=\frac{12\times 5}{4}$$

Multiply 12 and 5 to get 60.

$$p=\frac{60}{4}$$

Divide 60 by 4 to get 15.

$$p=15$$