Solve 150/x-1500/8x=125/600

$$\frac{ 150 }{ x } - \frac{ 1500 }{ 8x } = \frac{ 125 }{ 600 }$$

Solve for x

$$x=-180$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 600x, the least common multiple of x,8x,600.

$$600\times 150-75\times 1500=x\times 125$$

Do the multiplications.

$$90000-112500=x\times 125$$

Subtract 112500 from 90000 to get -22500.

$$-22500=x\times 125$$

Swap sides so that all variable terms are on the left hand side.

$$x\times 125=-22500$$

Divide both sides by 125.

$$x=\frac{-22500}{125}$$

Divide -22500 by 125 to get -180.

$$x=-180$$