3(2x+2)=5(x-4)-11

Solution for 3(2x+2)=5(x-4)-11 equation:

Simplifying
3(2x + 2) = 5(x + -4) + -11

Reorder the terms:
3(2 + 2x) = 5(x + -4) + -11
(2 * 3 + 2x * 3) = 5(x + -4) + -11
(6 + 6x) = 5(x + -4) + -11

Reorder the terms:
6 + 6x = 5(-4 + x) + -11
6 + 6x = (-4 * 5 + x * 5) + -11
6 + 6x = (-20 + 5x) + -11

Reorder the terms:
6 + 6x = -20 + -11 + 5x

Combine like terms: -20 + -11 = -31
6 + 6x = -31 + 5x

Solving
6 + 6x = -31 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + 6x + -5x = -31 + 5x + -5x

Combine like terms: 6x + -5x = 1x
6 + 1x = -31 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + 1x = -31 + 0
6 + 1x = -31

Add '-6' to each side of the equation.
6 + -6 + 1x = -31 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = -31 + -6
1x = -31 + -6

Combine like terms: -31 + -6 = -37
1x = -37

Divide each side by '1'.
x = -37

Simplifying
x = -37