4(2x+6)+3(x-6)=

Solution for 4(2x+6)+3(x-6)= equation:

Simplifying
4(2x + 6) + 3(x + -6) = 0

Reorder the terms:
4(6 + 2x) + 3(x + -6) = 0
(6 * 4 + 2x * 4) + 3(x + -6) = 0
(24 + 8x) + 3(x + -6) = 0

Reorder the terms:
24 + 8x + 3(-6 + x) = 0
24 + 8x + (-6 * 3 + x * 3) = 0
24 + 8x + (-18 + 3x) = 0

Reorder the terms:
24 + -18 + 8x + 3x = 0

Combine like terms: 24 + -18 = 6
6 + 8x + 3x = 0

Combine like terms: 8x + 3x = 11x
6 + 11x = 0

Solving
6 + 11x = 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 + 11x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 11x = 0 + -6
11x = 0 + -6

Combine like terms: 0 + -6 = -6
11x = -6

Divide each side by '11'.
x = -0.5454545455

Simplifying
x = -0.5454545455