Solve 150/x-1500/18x=125/600

$$\frac{ 150 }{ x } - \frac{ 1500 }{ 18x } = \frac{ 125 }{ 600 }$$

Solve for x

$$x=320$$

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 1800x, the least common multiple of x,18x,600.

$$1800\times 150-100\times 1500=3x\times 125$$

Do the multiplications.

$$270000-150000=3x\times 125$$

Subtract 150000 from 270000 to get 120000.

$$120000=3x\times 125$$

Multiply 3 and 125 to get 375.

$$120000=375x$$

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

$$375x=120000$$

Divide both sides by 375.

$$x=\frac{120000}{375}$$

Divide 120000 by 375 to get 320.

$$x=320$$