Solve (x+25)*80%=14

$$(x+25) \times 80 \% =14$$

Solve for x

$$x = -\frac{15}{2} = -7\frac{1}{2} = -7.5$$

Steps for Solving Linear Equation

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

$$\left(x+25\right)\times \frac{4}{5}=14$$

Use the distributive property to multiply x+25 by \frac{4}{5}.

$$x\times \frac{4}{5}+25\times \frac{4}{5}=14$$

Express 25\times \frac{4}{5} as a single fraction.

$$x\times \frac{4}{5}+\frac{25\times 4}{5}=14$$

Multiply 25 and 4 to get 100.

$$x\times \frac{4}{5}+\frac{100}{5}=14$$

Divide 100 by 5 to get 20.

$$x\times \frac{4}{5}+20=14$$

Subtract 20 from both sides.

$$x\times \frac{4}{5}=14-20$$

Subtract 20 from 14 to get -6.

$$x\times \frac{4}{5}=-6$$

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

$$x=-6\times \frac{5}{4}$$

Express -6\times \frac{5}{4} as a single fraction.

$$x=\frac{-6\times 5}{4}$$

Multiply -6 and 5 to get -30.

$$x=\frac{-30}{4}$$

Reduce the fraction \frac{-30}{4} to lowest terms by extracting and canceling out 2.

$$x=-\frac{15}{2}$$