Solve 100/x=500/x-20

$$\frac { 100 } { x } = \frac { 500 } { x - 20 }$$

Solve for x

$$x=-5$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values 0,20 since division by zero is not defined. Multiply both sides of the equation by x\left(x-20\right), the least common multiple of x,x-20.

$$\left(x-20\right)\times 100=x\times 500$$

Use the distributive property to multiply x-20 by 100.

$$100x-2000=x\times 500$$

Subtract x\times 500 from both sides.

$$100x-2000-x\times 500=0$$

Combine 100x and -x\times 500 to get -400x.

$$-400x-2000=0$$

Add 2000 to both sides. Anything plus zero gives itself.

$$-400x=2000$$

Divide both sides by -400.

$$x=\frac{2000}{-400}$$

Divide 2000 by -400 to get -5.

$$x=-5$$