Solve 2.5(x+40%)=11

$$2.5(x+40 \% )=11$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Divide both sides by 2.5.

$$x+\frac{40}{100}=\frac{11}{2.5}$$

Expand \frac{11}{2.5} by multiplying both numerator and the denominator by 10.

$$x+\frac{40}{100}=\frac{110}{25}$$

Reduce the fraction \frac{110}{25} to lowest terms by extracting and canceling out 5.

$$x+\frac{40}{100}=\frac{22}{5}$$

Reduce the fraction \frac{40}{100} to lowest terms by extracting and canceling out 20.

$$x+\frac{2}{5}=\frac{22}{5}$$

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

$$x=\frac{22}{5}-\frac{2}{5}$$

Since \frac{22}{5} and \frac{2}{5} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{22-2}{5}$$

Subtract 2 from 22 to get 20.

$$x=\frac{20}{5}$$

Divide 20 by 5 to get 4.

$$x=4$$