Solve 15%*5%+x*5%=165%

$$15 \% \times 5 \% + x \times 5 \% = 165 \%$$

Solve for x

$$x = \frac{657}{20} = 32\frac{17}{20} = 32.85$$

Steps for Solving Linear Equation

Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$\frac{3}{20}\times \frac{5}{100}+x\times \frac{5}{100}=\frac{165}{100}$$

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

$$\frac{3}{20}\times \frac{1}{20}+x\times \frac{5}{100}=\frac{165}{100}$$

Multiply \frac{3}{20} times \frac{1}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 1}{20\times 20}+x\times \frac{5}{100}=\frac{165}{100}$$

Do the multiplications in the fraction \frac{3\times 1}{20\times 20}.

$$\frac{3}{400}+x\times \frac{5}{100}=\frac{165}{100}$$

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

$$\frac{3}{400}+x\times \frac{1}{20}=\frac{165}{100}$$

Reduce the fraction \frac{165}{100} to lowest terms by extracting and canceling out 5.

$$\frac{3}{400}+x\times \frac{1}{20}=\frac{33}{20}$$

Subtract \frac{3}{400} from both sides.

$$x\times \frac{1}{20}=\frac{33}{20}-\frac{3}{400}$$

Least common multiple of 20 and 400 is 400. Convert \frac{33}{20} and \frac{3}{400} to fractions with denominator 400.

$$x\times \frac{1}{20}=\frac{660}{400}-\frac{3}{400}$$

Since \frac{660}{400} and \frac{3}{400} have the same denominator, subtract them by subtracting their numerators.

$$x\times \frac{1}{20}=\frac{660-3}{400}$$

Subtract 3 from 660 to get 657.

$$x\times \frac{1}{20}=\frac{657}{400}$$

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

$$x=\frac{657}{400}\times 20$$

Express \frac{657}{400}\times 20 as a single fraction.

$$x=\frac{657\times 20}{400}$$

Multiply 657 and 20 to get 13140.

$$x=\frac{13140}{400}$$

Reduce the fraction \frac{13140}{400} to lowest terms by extracting and canceling out 20.

$$x=\frac{657}{20}$$