Solve 24000/x2=52000/x+2

$$\frac{ 24000 }{ x } 2 = \frac{ 52000 }{ x+2 }$$

Solve for x

$$x=24$$

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.

$$\left(x+2\right)\times 24000\times 2=x\times 52000$$

Multiply 24000 and 2 to get 48000.

$$\left(x+2\right)\times 48000=x\times 52000$$

Use the distributive property to multiply x+2 by 48000.

$$48000x+96000=x\times 52000$$

Subtract x\times 52000 from both sides.

$$48000x+96000-x\times 52000=0$$

Combine 48000x and -x\times 52000 to get -4000x.

$$-4000x+96000=0$$

Subtract 96000 from both sides. Anything subtracted from zero gives its negation.

$$-4000x=-96000$$

Divide both sides by -4000.

$$x=\frac{-96000}{-4000}$$

Divide -96000 by -4000 to get 24.

$$x=24$$