3(4x+2)=20x-9x+2

Solution for 3(4x+2)=20x-9x+2 equation:

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