Solve 3500/x=2400/x-11

$$\frac{ 3500 }{ x } = \frac{ 2400 }{ x-11 }$$

Solve for x

$$x=35$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values 0,11 since division by zero is not defined. Multiply both sides of the equation by x\left(x-11\right), the least common multiple of x,x-11.

$$\left(x-11\right)\times 3500=x\times 2400$$

Use the distributive property to multiply x-11 by 3500.

$$3500x-38500=x\times 2400$$

Subtract x\times 2400 from both sides.

$$3500x-38500-x\times 2400=0$$

Combine 3500x and -x\times 2400 to get 1100x.

$$1100x-38500=0$$

Add 38500 to both sides. Anything plus zero gives itself.

$$1100x=38500$$

Divide both sides by 1100.

$$x=\frac{38500}{1100}$$

Divide 38500 by 1100 to get 35.

$$x=35$$