Solve (115.2-11.52)(1+x)=120.96

$$(115.2-11.52)(1+x)=120.96$$

Solve for x

$$x=\frac{1}{6}\approx 0.166666667$$

Steps for Solving Linear Equation

Subtract 11.52 from 115.2 to get 103.68.

$$103.68\left(1+x\right)=120.96$$

Use the distributive property to multiply 103.68 by 1+x.

$$103.68+103.68x=120.96$$

Subtract 103.68 from both sides.

$$103.68x=120.96-103.68$$

Subtract 103.68 from 120.96 to get 17.28.

$$103.68x=17.28$$

Divide both sides by 103.68.

$$x=\frac{17.28}{103.68}$$

Expand \frac{17.28}{103.68} by multiplying both numerator and the denominator by 100.

$$x=\frac{1728}{10368}$$

Reduce the fraction \frac{1728}{10368} to lowest terms by extracting and canceling out 1728.

$$x=\frac{1}{6}$$