Solve x18/x+56=2224

$$\frac{ x18 }{ x+56 } = 2224$$

Solve for x

$$x=\frac{x_{18}-124544}{2224}$$

$$x_{18}\neq 0$$

Steps for Solving Linear Equation

Variable x cannot be equal to -56 since division by zero is not defined. Multiply both sides of the equation by x+56.

$$x_{18}=2224\left(x+56\right)$$

Use the distributive property to multiply 2224 by x+56.

$$x_{18}=2224x+124544$$

Swap sides so that all variable terms are on the left hand side.

$$2224x+124544=x_{18}$$

Subtract 124544 from both sides.

$$2224x=x_{18}-124544$$

Divide both sides by 2224.

$$\frac{2224x}{2224}=\frac{x_{18}-124544}{2224}$$

Dividing by 2224 undoes the multiplication by 2224.

$$x=\frac{x_{18}-124544}{2224}$$

Divide x_{18}-124544 by 2224.

$$x=\frac{x_{18}}{2224}-56$$

Variable x cannot be equal to -56.

$$x=\frac{x_{18}}{2224}-56\text{, }x\neq -56$$

Solve for x_18

$$x_{18}=2224\left(x+56\right)$$

$$x\neq -56$$

Solution Steps

Multiply both sides of the equation by x+56.

$$x_{18}=2224\left(x+56\right)$$

Use the distributive property to multiply 2224 by x+56.

$$x_{18}=2224x+124544$$