Solve 400/x=600/x+2

$$\frac { 400 } { x } = \frac { 600 } { x + 2 }$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values -2,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+2\right), the least common multiple of x,x+2.

$$\left(x+2\right)\times 400=x\times 600$$

Use the distributive property to multiply x+2 by 400.

$$400x+800=x\times 600$$

Subtract x\times 600 from both sides.

$$400x+800-x\times 600=0$$

Combine 400x and -x\times 600 to get -200x.

$$-200x+800=0$$

Subtract 800 from both sides. Anything subtracted from zero gives its negation.

$$-200x=-800$$

Divide both sides by -200.

$$x=\frac{-800}{-200}$$

Divide -800 by -200 to get 4.

$$x=4$$