Solve (x+15%)+20%=745.2

$$(x+15 \% )+20 \% =745.2$$

Solve for x

$$x=744.85$$

Steps for Solving Linear Equation

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

$$x+\frac{3}{20}+\frac{20}{100}=745.2$$

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

$$x+\frac{3}{20}+\frac{1}{5}=745.2$$

Least common multiple of 20 and 5 is 20. Convert \frac{3}{20} and \frac{1}{5} to fractions with denominator 20.

$$x+\frac{3}{20}+\frac{4}{20}=745.2$$

Since \frac{3}{20} and \frac{4}{20} have the same denominator, add them by adding their numerators.

$$x+\frac{3+4}{20}=745.2$$

Add 3 and 4 to get 7.

$$x+\frac{7}{20}=745.2$$

Subtract \frac{7}{20} from both sides.

$$x=745.2-\frac{7}{20}$$

Convert decimal number 745.2 to fraction \frac{7452}{10}. Reduce the fraction \frac{7452}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{3726}{5}-\frac{7}{20}$$

Least common multiple of 5 and 20 is 20. Convert \frac{3726}{5} and \frac{7}{20} to fractions with denominator 20.

$$x=\frac{14904}{20}-\frac{7}{20}$$

Since \frac{14904}{20} and \frac{7}{20} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{14904-7}{20}$$

Subtract 7 from 14904 to get 14897.

$$x=\frac{14897}{20}$$