Solve 600/2x+6=600/x

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

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.

$$600+2x\times 6=2\times 600$$

Multiply 2 and 6 to get 12.

$$600+12x=2\times 600$$

Multiply 2 and 600 to get 1200.

$$600+12x=1200$$

Subtract 600 from both sides.

$$12x=1200-600$$

Subtract 600 from 1200 to get 600.

$$12x=600$$

Divide both sides by 12.

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

Divide 600 by 12 to get 50.

$$x=50$$