Solve 600/2x=600/x-6

$$\frac{ 600 }{ 2x } = \frac{ 600 }{ x } -6$$

Solve for x

$$x=50$$

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 2x, the least common multiple of 2x,x.

$$600=2\times 600+2x\left(-6\right)$$

Multiply 2 and 600 to get 1200.

$$600=1200+2x\left(-6\right)$$

Multiply 2 and -6 to get -12.

$$600=1200-12x$$

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

$$1200-12x=600$$

Subtract 1200 from both sides.

$$-12x=600-1200$$

Subtract 1200 from 600 to get -600.

$$-12x=-600$$

Divide both sides by -12.

$$x=\frac{-600}{-12}$$

Divide -600 by -12 to get 50.

$$x=50$$