Solve 50*20%=(50+x)*5%

$$50 \times 20 \% =(50+x) \times 5 \%$$

Solve for x

$$x=150$$

Steps for Solving Linear Equation

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

$$50\times \frac{1}{5}=\left(50+x\right)\times \frac{5}{100}$$

Multiply 50 and \frac{1}{5} to get \frac{50}{5}.

$$\frac{50}{5}=\left(50+x\right)\times \frac{5}{100}$$

Divide 50 by 5 to get 10.

$$10=\left(50+x\right)\times \frac{5}{100}$$

Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$10=\left(50+x\right)\times \frac{1}{20}$$

Use the distributive property to multiply 50+x by \frac{1}{20}.

$$10=50\times \frac{1}{20}+x\times \frac{1}{20}$$

Multiply 50 and \frac{1}{20} to get \frac{50}{20}.

$$10=\frac{50}{20}+x\times \frac{1}{20}$$

Reduce the fraction \frac{50}{20} to lowest terms by extracting and canceling out 10.

$$10=\frac{5}{2}+x\times \frac{1}{20}$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{5}{2}+x\times \frac{1}{20}=10$$

Subtract \frac{5}{2} from both sides.

$$x\times \frac{1}{20}=10-\frac{5}{2}$$

Convert 10 to fraction \frac{20}{2}.

$$x\times \frac{1}{20}=\frac{20}{2}-\frac{5}{2}$$

Since \frac{20}{2} and \frac{5}{2} have the same denominator, subtract them by subtracting their numerators.

$$x\times \frac{1}{20}=\frac{20-5}{2}$$

Subtract 5 from 20 to get 15.

$$x\times \frac{1}{20}=\frac{15}{2}$$

Multiply both sides by 20, the reciprocal of \frac{1}{20}.

$$x=\frac{15}{2}\times 20$$

Express \frac{15}{2}\times 20 as a single fraction.

$$x=\frac{15\times 20}{2}$$

Multiply 15 and 20 to get 300.

$$x=\frac{300}{2}$$

Divide 300 by 2 to get 150.

$$x=150$$