Solve x-1+3x-2+1-5x/5=x-12/5-1+3x

$$x - 1 + 3 x - 2 + \frac { 1 - 5 x } { 5 } = \frac { x - 12 } { 5 } - 1 + 3 x$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 5.

$$5x-5+15x-10+1-5x=x-12-5+15x$$

Combine 5x and 15x to get 20x.

$$20x-5-10+1-5x=x-12-5+15x$$

Subtract 10 from -5 to get -15.

$$20x-15+1-5x=x-12-5+15x$$

Add -15 and 1 to get -14.

$$20x-14-5x=x-12-5+15x$$

Combine 20x and -5x to get 15x.

$$15x-14=x-12-5+15x$$

Subtract 5 from -12 to get -17.

$$15x-14=x-17+15x$$

Combine x and 15x to get 16x.

$$15x-14=16x-17$$

Subtract 16x from both sides.

$$15x-14-16x=-17$$

Combine 15x and -16x to get -x.

$$-x-14=-17$$

Add 14 to both sides.

$$-x=-17+14$$

Add -17 and 14 to get -3.

$$-x=-3$$

Multiply both sides by -1.

$$x=3$$