12x+80+7x-160=3x-6+1x-84

Solution for 12x+80+7x-160=3x-6+1x-84 equation:

Simplifying
12x + 80 + 7x + -160 = 3x + -6 + 1x + -84

Reorder the terms:
80 + -160 + 12x + 7x = 3x + -6 + 1x + -84

Combine like terms: 80 + -160 = -80
-80 + 12x + 7x = 3x + -6 + 1x + -84

Combine like terms: 12x + 7x = 19x
-80 + 19x = 3x + -6 + 1x + -84

Reorder the terms:
-80 + 19x = -6 + -84 + 3x + 1x

Combine like terms: -6 + -84 = -90
-80 + 19x = -90 + 3x + 1x

Combine like terms: 3x + 1x = 4x
-80 + 19x = -90 + 4x

Solving
-80 + 19x = -90 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
-80 + 19x + -4x = -90 + 4x + -4x

Combine like terms: 19x + -4x = 15x
-80 + 15x = -90 + 4x + -4x

Combine like terms: 4x + -4x = 0
-80 + 15x = -90 + 0
-80 + 15x = -90

Add '80' to each side of the equation.
-80 + 80 + 15x = -90 + 80

Combine like terms: -80 + 80 = 0
0 + 15x = -90 + 80
15x = -90 + 80

Combine like terms: -90 + 80 = -10
15x = -10

Divide each side by '15'.
x = -0.6666666667

Simplifying
x = -0.6666666667