Solve 7500/x2=16000/x+10

$$\frac{ 7500 }{ x } 2 = \frac{ 16000 }{ x+10 }$$

Solve for x

$$x=150$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values -10,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+10\right), the least common multiple of x,x+10.

$$\left(x+10\right)\times 7500\times 2=x\times 16000$$

Multiply 7500 and 2 to get 15000.

$$\left(x+10\right)\times 15000=x\times 16000$$

Use the distributive property to multiply x+10 by 15000.

$$15000x+150000=x\times 16000$$

Subtract x\times 16000 from both sides.

$$15000x+150000-x\times 16000=0$$

Combine 15000x and -x\times 16000 to get -1000x.

$$-1000x+150000=0$$

Subtract 150000 from both sides. Anything subtracted from zero gives its negation.

$$-1000x=-150000$$

Divide both sides by -1000.

$$x=\frac{-150000}{-1000}$$

Divide -150000 by -1000 to get 150.

$$x=150$$