Simplifying
3(4x + 2) = 20x + -9x + 2
Reorder the terms:
3(2 + 4x) = 20x + -9x + 2
(2 * 3 + 4x * 3) = 20x + -9x + 2
(6 + 12x) = 20x + -9x + 2
Reorder the terms:
6 + 12x = 2 + 20x + -9x
Combine like terms: 20x + -9x = 11x
6 + 12x = 2 + 11x
Solving
6 + 12x = 2 + 11x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-11x' to each side of the equation.
6 + 12x + -11x = 2 + 11x + -11x
Combine like terms: 12x + -11x = 1x
6 + 1x = 2 + 11x + -11x
Combine like terms: 11x + -11x = 0
6 + 1x = 2 + 0
6 + 1x = 2
Add '-6' to each side of the equation.
6 + -6 + 1x = 2 + -6
Combine like terms: 6 + -6 = 0
0 + 1x = 2 + -6
1x = 2 + -6
Combine like terms: 2 + -6 = -4
1x = -4
Divide each side by '1'.
x = -4
Simplifying
x = -4