Solve C=200x+400,000/x

$$C = \frac { 200 x + 400,000 } { x }$$

Solve for x

$$x=\frac{400000}{C-200}$$

$$C\neq 200$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$Cx=200x+400000$$

Subtract 200x from both sides.

$$Cx-200x=400000$$

Combine all terms containing x.

$$\left(C-200\right)x=400000$$

Divide both sides by C-200.

$$\frac{\left(C-200\right)x}{C-200}=\frac{400000}{C-200}$$

Dividing by C-200 undoes the multiplication by C-200.

$$x=\frac{400000}{C-200}$$

Variable x cannot be equal to 0.

$$x=\frac{400000}{C-200}\text{, }x\neq 0$$

Solve for C

$$C=200+\frac{400000}{x}$$

$$x\neq 0$$