Solve x-(x-800)x200=1760

$$x - ( x - 800 ) x 200 = 1760$$

Solve for x

$$x=-\frac{160\left(5x_{200}-11\right)}{1-x_{200}}$$

$$x_{200}\neq 1$$

Steps for Solving Linear Equation

Use the distributive property to multiply x-800 by x_{200}.

$$x-\left(xx_{200}-800x_{200}\right)=1760$$

To find the opposite of xx_{200}-800x_{200}, find the opposite of each term.

$$x-xx_{200}+800x_{200}=1760$$

Subtract 800x_{200} from both sides.

$$x-xx_{200}=1760-800x_{200}$$

Combine all terms containing x.

$$\left(1-x_{200}\right)x=1760-800x_{200}$$

Divide both sides by -x_{200}+1.

$$\frac{\left(1-x_{200}\right)x}{1-x_{200}}=\frac{1760-800x_{200}}{1-x_{200}}$$

Dividing by -x_{200}+1 undoes the multiplication by -x_{200}+1.

$$x=\frac{1760-800x_{200}}{1-x_{200}}$$

Divide 1760-800x_{200} by -x_{200}+1.

$$x=\frac{160\left(11-5x_{200}\right)}{1-x_{200}}$$

Solve for x_200

$$x_{200}=-\frac{x-1760}{800-x}$$

$$x\neq 800$$

Steps for Solving Linear Equation

Use the distributive property to multiply x-800 by x_{200}.

$$x-\left(xx_{200}-800x_{200}\right)=1760$$

To find the opposite of xx_{200}-800x_{200}, find the opposite of each term.

$$x-xx_{200}+800x_{200}=1760$$

Subtract x from both sides.

$$-xx_{200}+800x_{200}=1760-x$$

Combine all terms containing x_{200}.

$$\left(-x+800\right)x_{200}=1760-x$$

The equation is in standard form.

$$\left(800-x\right)x_{200}=1760-x$$

Divide both sides by -x+800.

$$\frac{\left(800-x\right)x_{200}}{800-x}=\frac{1760-x}{800-x}$$

Dividing by -x+800 undoes the multiplication by -x+800.

$$x_{200}=\frac{1760-x}{800-x}$$