Simplifying
6(3x + 8) + 32 + 12x = 0
Reorder the terms:
6(8 + 3x) + 32 + 12x = 0
(8 * 6 + 3x * 6) + 32 + 12x = 0
(48 + 18x) + 32 + 12x = 0
Reorder the terms:
48 + 32 + 18x + 12x = 0
Combine like terms: 48 + 32 = 80
80 + 18x + 12x = 0
Combine like terms: 18x + 12x = 30x
80 + 30x = 0
Solving
80 + 30x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-80' to each side of the equation.
80 + -80 + 30x = 0 + -80
Combine like terms: 80 + -80 = 0
0 + 30x = 0 + -80 30x = 0 + -80
Combine like terms: 0 + -80 = -80
30x = -80
Divide each side by '30'.
x = -2.666666667
Simplifying
x = -2.666666667
