Solve 200-x/50-x=-5

$$\frac { 200 - x } { 50 - x } = - 5$$

Solve for x

$$x=75$$

Steps for Solving Linear Equation

Variable x cannot be equal to 50 since division by zero is not defined. Multiply both sides of the equation by -x+50.

$$200-x=-5\left(-x+50\right)$$

Use the distributive property to multiply -5 by -x+50.

$$200-x=5x-250$$

Subtract 5x from both sides.

$$200-x-5x=-250$$

Combine -x and -5x to get -6x.

$$200-6x=-250$$

Subtract 200 from both sides.

$$-6x=-250-200$$

Subtract 200 from -250 to get -450.

$$-6x=-450$$

Divide both sides by -6.

$$x=\frac{-450}{-6}$$

Divide -450 by -6 to get 75.

$$x=75$$