Solve 4800/x=6000/x+2

$$\frac { 4800 } { x } = \frac { 6000 } { x + 2 }$$

Solve for x

$$x=8$$

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.

$$\left(x+2\right)\times 4800=x\times 6000$$

Use the distributive property to multiply x+2 by 4800.

$$4800x+9600=x\times 6000$$

Subtract x\times 6000 from both sides.

$$4800x+9600-x\times 6000=0$$

Combine 4800x and -x\times 6000 to get -1200x.

$$-1200x+9600=0$$

Subtract 9600 from both sides. Anything subtracted from zero gives its negation.

$$-1200x=-9600$$

Divide both sides by -1200.

$$x=\frac{-9600}{-1200}$$

Divide -9600 by -1200 to get 8.

$$x=8$$