Solve 300/x+150=200/x-150

$$\frac{ 300 }{ x+150 } = \frac{ 200 }{ x-150 }$$

Solve for x

$$x=750$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values -150,150 since division by zero is not defined. Multiply both sides of the equation by \left(x-150\right)\left(x+150\right), the least common multiple of x+150,x-150.

$$\left(x-150\right)\times 300=\left(x+150\right)\times 200$$

Use the distributive property to multiply x-150 by 300.

$$300x-45000=\left(x+150\right)\times 200$$

Use the distributive property to multiply x+150 by 200.

$$300x-45000=200x+30000$$

Subtract 200x from both sides.

$$300x-45000-200x=30000$$

Combine 300x and -200x to get 100x.

$$100x-45000=30000$$

Add 45000 to both sides.

$$100x=30000+45000$$

Add 30000 and 45000 to get 75000.

$$100x=75000$$

Divide both sides by 100.

$$x=\frac{75000}{100}$$

Divide 75000 by 100 to get 750.

$$x=750$$