Solve 10000(0.2-x/200000)=8000(0.3-x/80000)

$$10000 ( 0.2 - \frac { x } { 200000 } ) = 8000 ( 0.3 - \frac { x } { 80000 } )$$

Solve for x

$$x=8000$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 400000, the least common multiple of 200000,80000.

$$4000000000\left(0.2-\frac{x}{200000}\right)=3200000000\left(0.3-\frac{x}{80000}\right)$$

Use the distributive property to multiply 4000000000 by 0.2-\frac{x}{200000}.

$$800000000+4000000000\left(-\frac{x}{200000}\right)=3200000000\left(0.3-\frac{x}{80000}\right)$$

Cancel out 200000, the greatest common factor in 4000000000 and 200000.

$$800000000-20000x=3200000000\left(0.3-\frac{x}{80000}\right)$$

Use the distributive property to multiply 3200000000 by 0.3-\frac{x}{80000}.

$$800000000-20000x=960000000+3200000000\left(-\frac{x}{80000}\right)$$

Cancel out 80000, the greatest common factor in 3200000000 and 80000.

$$800000000-20000x=960000000-40000x$$

Add 40000x to both sides.

$$800000000-20000x+40000x=960000000$$

Combine -20000x and 40000x to get 20000x.

$$800000000+20000x=960000000$$

Subtract 800000000 from both sides.

$$20000x=960000000-800000000$$

Subtract 800000000 from 960000000 to get 160000000.

$$20000x=160000000$$

Divide both sides by 20000.

$$x=\frac{160000000}{20000}$$

Divide 160000000 by 20000 to get 8000.

$$x=8000$$