Solve left(1-0.2right)100left(1+xright)=135.2

$$\left( 1-0.2 \right) 100 \left( 1+x \right) =135.2$$

Solve for x

$$x=0.69$$

Steps for Solving Linear Equation

Subtract 0.2 from 1 to get 0.8.

$$0.8\times 100\left(1+x\right)=135.2$$

Multiply 0.8 and 100 to get 80.

$$80\left(1+x\right)=135.2$$

Use the distributive property to multiply 80 by 1+x.

$$80+80x=135.2$$

Subtract 80 from both sides.

$$80x=135.2-80$$

Subtract 80 from 135.2 to get 55.2.

$$80x=55.2$$

Divide both sides by 80.

$$x=\frac{55.2}{80}$$

Expand \frac{55.2}{80} by multiplying both numerator and the denominator by 10.

$$x=\frac{552}{800}$$

Reduce the fraction \frac{552}{800} to lowest terms by extracting and canceling out 8.

$$x=\frac{69}{100}$$