Solve (272082678div800000000)-(272082678div(800000000-x))=0.02

$$(272082678 \div 800000000)-(272082678 \div (800000000-x))=0.02$$

Solve for x

$$x = -\frac{6400000000000000}{128041339} = -49983857\frac{21335477}{128041339} \approx -49983857.166629599$$

Steps for Solving Linear Equation

Variable x cannot be equal to 800000000 since division by zero is not defined. Multiply both sides of the equation by 800000000\left(x-800000000\right), the least common multiple of 800000000,800000000-x.

$$\left(x-800000000\right)\times 272082678+800000000\times 272082678=16000000\left(x-800000000\right)$$

Use the distributive property to multiply x-800000000 by 272082678.

$$272082678x-217666142400000000+800000000\times 272082678=16000000\left(x-800000000\right)$$

Multiply 800000000 and 272082678 to get 217666142400000000.

$$272082678x-217666142400000000+217666142400000000=16000000\left(x-800000000\right)$$

Add -217666142400000000 and 217666142400000000 to get 0.

$$272082678x=16000000\left(x-800000000\right)$$

Use the distributive property to multiply 16000000 by x-800000000.

$$272082678x=16000000x-12800000000000000$$

Subtract 16000000x from both sides.

$$272082678x-16000000x=-12800000000000000$$

Combine 272082678x and -16000000x to get 256082678x.

$$256082678x=-12800000000000000$$

Divide both sides by 256082678.

$$x=\frac{-12800000000000000}{256082678}$$

Reduce the fraction \frac{-12800000000000000}{256082678} to lowest terms by extracting and canceling out 2.

$$x=-\frac{6400000000000000}{128041339}$$