Solve 100(1+x)+100(1+x)=280

$$100(1+x)+100(1+x)=280$$

Solve for x

$$x=\frac{2}{5}=0.4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 100 by 1+x.

$$100+100x+100\left(1+x\right)=280$$

Use the distributive property to multiply 100 by 1+x.

$$100+100x+100+100x=280$$

Add 100 and 100 to get 200.

$$200+100x+100x=280$$

Combine 100x and 100x to get 200x.

$$200+200x=280$$

Subtract 200 from both sides.

$$200x=280-200$$

Subtract 200 from 280 to get 80.

$$200x=80$$

Divide both sides by 200.

$$x=\frac{80}{200}$$

Reduce the fraction \frac{80}{200} to lowest terms by extracting and canceling out 40.

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