Solve -20/x-1=2

$$\frac { - 20 } { x - 1 } = 2$$

Solve for x

$$x=-9$$

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.

$$-20=2\left(x-1\right)$$

Use the distributive property to multiply 2 by x-1.

$$-20=2x-2$$

Swap sides so that all variable terms are on the left hand side.

$$2x-2=-20$$

Add 2 to both sides.

$$2x=-20+2$$

Add -20 and 2 to get -18.

$$2x=-18$$

Divide both sides by 2.

$$x=\frac{-18}{2}$$

Divide -18 by 2 to get -9.

$$x=-9$$