Solve 90000/x=80000/x-500

$$\frac{ 90000 }{ x } = \frac{ 80000 }{ x-500 }$$

Solve for x

$$x=4500$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values 0,500 since division by zero is not defined. Multiply both sides of the equation by x\left(x-500\right), the least common multiple of x,x-500.

$$\left(x-500\right)\times 90000=x\times 80000$$

Use the distributive property to multiply x-500 by 90000.

$$90000x-45000000=x\times 80000$$

Subtract x\times 80000 from both sides.

$$90000x-45000000-x\times 80000=0$$

Combine 90000x and -x\times 80000 to get 10000x.

$$10000x-45000000=0$$

Add 45000000 to both sides. Anything plus zero gives itself.

$$10000x=45000000$$

Divide both sides by 10000.

$$x=\frac{45000000}{10000}$$

Divide 45000000 by 10000 to get 4500.

$$x=4500$$