11(x+3)=6[11-2(3-x)+8]

Solution for 11(x+3)=6[11-2(3-x)+8] equation:

Simplifying
11(x + 3) = 6[11 + -2(3 + -1x) + 8]

Reorder the terms:
11(3 + x) = 6[11 + -2(3 + -1x) + 8]
(3 * 11 + x * 11) = 6[11 + -2(3 + -1x) + 8]
(33 + 11x) = 6[11 + -2(3 + -1x) + 8]
33 + 11x = 6[11 + (3 * -2 + -1x * -2) + 8]
33 + 11x = 6[11 + (-6 + 2x) + 8]

Reorder the terms:
33 + 11x = 6[11 + -6 + 8 + 2x]

Combine like terms: 11 + -6 = 5
33 + 11x = 6[5 + 8 + 2x]

Combine like terms: 5 + 8 = 13
33 + 11x = 6[13 + 2x]
33 + 11x = [13 * 6 + 2x * 6]
33 + 11x = [78 + 12x]

Solving
33 + 11x = 78 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
33 + 11x + -12x = 78 + 12x + -12x

Combine like terms: 11x + -12x = -1x
33 + -1x = 78 + 12x + -12x

Combine like terms: 12x + -12x = 0
33 + -1x = 78 + 0
33 + -1x = 78

Add '-33' to each side of the equation.
33 + -33 + -1x = 78 + -33

Combine like terms: 33 + -33 = 0
0 + -1x = 78 + -33
-1x = 78 + -33

Combine like terms: 78 + -33 = 45
-1x = 45

Divide each side by '-1'.
x = -45

Simplifying
x = -45