Solve 10000(02-x/200000)=8000(03-x/80000)

$$10000 ( 02 - \frac { x } { 200000 } ) = 8000 ( 03 - \frac { x } { 80000 } )$$

Solve for x

$$x=0$$

Steps for Solving Linear Equation

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

$$4000000000\left(0\times 2-\frac{x}{200000}\right)=3200000000\left(0\times 3-\frac{x}{80000}\right)$$

Multiply 0 and 2 to get 0.

$$4000000000\left(0-\frac{x}{200000}\right)=3200000000\left(0\times 3-\frac{x}{80000}\right)$$

Anything plus zero gives itself.

$$4000000000\left(-\frac{x}{200000}\right)=3200000000\left(0\times 3-\frac{x}{80000}\right)$$

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

$$-20000x=3200000000\left(0\times 3-\frac{x}{80000}\right)$$

Multiply 0 and 3 to get 0.

$$-20000x=3200000000\left(0-\frac{x}{80000}\right)$$

Anything plus zero gives itself.

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

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

$$-20000x=-40000x$$

Add 40000x to both sides.

$$-20000x+40000x=0$$

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

$$20000x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since 20000 is not equal to 0, x must be equal to 0.

$$x=0$$