Solve 120-144x+60/45=-30x+5-180x-23/45

$$\frac { 120 - 144 x + 60 } { 45 } = \frac { - 30 x + 5 - 180 x - 23 } { 45 }$$

Solve for x

$$x=-3$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 45.

$$120-144x+60=-30x+5-180x-23$$

Add 120 and 60 to get 180.

$$180-144x=-30x+5-180x-23$$

Combine -30x and -180x to get -210x.

$$180-144x=-210x+5-23$$

Subtract 23 from 5 to get -18.

$$180-144x=-210x-18$$

Add 210x to both sides.

$$180-144x+210x=-18$$

Combine -144x and 210x to get 66x.

$$180+66x=-18$$

Subtract 180 from both sides.

$$66x=-18-180$$

Subtract 180 from -18 to get -198.

$$66x=-198$$

Divide both sides by 66.

$$x=\frac{-198}{66}$$

Divide -198 by 66 to get -3.

$$x=-3$$