Solve 189=3-96x/1-x

$$189 = \frac { 3 - 96 x } { 1 - x }$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by -x+1.

$$189\left(-x+1\right)=3-96x$$

Use the distributive property to multiply 189 by -x+1.

$$-189x+189=3-96x$$

Add 96x to both sides.

$$-189x+189+96x=3$$

Combine -189x and 96x to get -93x.

$$-93x+189=3$$

Subtract 189 from both sides.

$$-93x=3-189$$

Subtract 189 from 3 to get -186.

$$-93x=-186$$

Divide both sides by -93.

$$x=\frac{-186}{-93}$$

Divide -186 by -93 to get 2.

$$x=2$$