Solve (x-9)div(89-x)=3

$$(x-9) \div (89-x)=3$$

Solve for x

$$x=69$$

Steps for Solving Linear Equation

Variable x cannot be equal to 89 since division by zero is not defined. Multiply both sides of the equation by -x+89.

$$x-9=3\left(-x+89\right)$$

Use the distributive property to multiply 3 by -x+89.

$$x-9=-3x+267$$

Add 3x to both sides.

$$x-9+3x=267$$

Combine x and 3x to get 4x.

$$4x-9=267$$

Add 9 to both sides.

$$4x=267+9$$

Add 267 and 9 to get 276.

$$4x=276$$

Divide both sides by 4.

$$x=\frac{276}{4}$$

Divide 276 by 4 to get 69.

$$x=69$$