Solve 800(1.6+x)=1000(1+x)

$$800(1.6+x)=1000(1+x)$$

Solve for x

$$x=1.4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 800 by 1.6+x.

$$1280+800x=1000\left(1+x\right)$$

Use the distributive property to multiply 1000 by 1+x.

$$1280+800x=1000+1000x$$

Subtract 1000x from both sides.

$$1280+800x-1000x=1000$$

Combine 800x and -1000x to get -200x.

$$1280-200x=1000$$

Subtract 1280 from both sides.

$$-200x=1000-1280$$

Subtract 1280 from 1000 to get -280.

$$-200x=-280$$

Divide both sides by -200.

$$x=\frac{-280}{-200}$$

Reduce the fraction \frac{-280}{-200} to lowest terms by extracting and canceling out -40.

$$x=\frac{7}{5}$$