Solve 200200/x+20=200/x30

$$\frac { 200200 } { x + 20 } = \frac { 200 } { x } 30$$

Solve for x

$$x=\frac{600}{971}\approx 0.61791967$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values -20,0 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+20,x.

$$x\times 200200=\left(x+20\right)\times 200\times 30$$

Multiply 200 and 30 to get 6000.

$$x\times 200200=\left(x+20\right)\times 6000$$

Use the distributive property to multiply x+20 by 6000.

$$x\times 200200=6000x+120000$$

Subtract 6000x from both sides.

$$x\times 200200-6000x=120000$$

Combine x\times 200200 and -6000x to get 194200x.

$$194200x=120000$$

Divide both sides by 194200.

$$x=\frac{120000}{194200}$$

Reduce the fraction \frac{120000}{194200} to lowest terms by extracting and canceling out 200.

$$x=\frac{600}{971}$$