3(x+2)-4(3+2x)=0

Solution for 3(x+2)-4(3+2x)=0 equation:

Simplifying
3(x + 2) + -4(3 + 2x) = 0

Reorder the terms:
3(2 + x) + -4(3 + 2x) = 0
(2 * 3 + x * 3) + -4(3 + 2x) = 0
(6 + 3x) + -4(3 + 2x) = 0
6 + 3x + (3 * -4 + 2x * -4) = 0
6 + 3x + (-12 + -8x) = 0

Reorder the terms:
6 + -12 + 3x + -8x = 0

Combine like terms: 6 + -12 = -6
-6 + 3x + -8x = 0

Combine like terms: 3x + -8x = -5x
-6 + -5x = 0

Solving
-6 + -5x = 0

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + -5x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -5x = 0 + 6
-5x = 0 + 6

Combine like terms: 0 + 6 = 6
-5x = 6

Divide each side by '-5'.
x = -1.2

Simplifying
x = -1.2