Solve 22/x=33/x+100

$$\frac { 22 } { x } = \frac { 33 } { x + 100 }$$

Solve for x

$$x=200$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values -100,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+100\right), the least common multiple of x,x+100.

$$\left(x+100\right)\times 22=x\times 33$$

Use the distributive property to multiply x+100 by 22.

$$22x+2200=x\times 33$$

Subtract x\times 33 from both sides.

$$22x+2200-x\times 33=0$$

Combine 22x and -x\times 33 to get -11x.

$$-11x+2200=0$$

Subtract 2200 from both sides. Anything subtracted from zero gives its negation.

$$-11x=-2200$$

Divide both sides by -11.

$$x=\frac{-2200}{-11}$$

Divide -2200 by -11 to get 200.

$$x=200$$