Solve x-5/x-9=3

$$\frac { x - 5 } { x - 9 } = 3$$

Solve for x

$$x=11$$

Steps for Solving Linear Equation

Variable x cannot be equal to 9 since division by zero is not defined. Multiply both sides of the equation by x-9.

$$x-5=3\left(x-9\right)$$

Use the distributive property to multiply 3 by x-9.

$$x-5=3x-27$$

Subtract 3x from both sides.

$$x-5-3x=-27$$

Combine x and -3x to get -2x.

$$-2x-5=-27$$

Add 5 to both sides.

$$-2x=-27+5$$

Add -27 and 5 to get -22.

$$-2x=-22$$

Divide both sides by -2.

$$x=\frac{-22}{-2}$$

Divide -22 by -2 to get 11.

$$x=11$$