Solve 1000(0.25-x)=800(0.3-x)

$$1000(0.25-x)=800(0.3-x)$$

Solve for x

$$x=0.05$$

Steps for Solving Linear Equation

Use the distributive property to multiply 1000 by 0.25-x.

$$250-1000x=800\left(0.3-x\right)$$

Use the distributive property to multiply 800 by 0.3-x.

$$250-1000x=240-800x$$

Add 800x to both sides.

$$250-1000x+800x=240$$

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

$$250-200x=240$$

Subtract 250 from both sides.

$$-200x=240-250$$

Subtract 250 from 240 to get -10.

$$-200x=-10$$

Divide both sides by -200.

$$x=\frac{-10}{-200}$$

Reduce the fraction \frac{-10}{-200} to lowest terms by extracting and canceling out -10.

$$x=\frac{1}{20}$$