3(x+6)+4(2x-1)=2(x+11)-3(x+4)

Solution for 3(x+6)+4(2x-1)=2(x+11)-3(x+4) equation:

Simplifying
3(x + 6) + 4(2x + -1) = 2(x + 11) + -3(x + 4)

Reorder the terms:
3(6 + x) + 4(2x + -1) = 2(x + 11) + -3(x + 4)
(6 * 3 + x * 3) + 4(2x + -1) = 2(x + 11) + -3(x + 4)
(18 + 3x) + 4(2x + -1) = 2(x + 11) + -3(x + 4)

Reorder the terms:
18 + 3x + 4(-1 + 2x) = 2(x + 11) + -3(x + 4)
18 + 3x + (-1 * 4 + 2x * 4) = 2(x + 11) + -3(x + 4)
18 + 3x + (-4 + 8x) = 2(x + 11) + -3(x + 4)

Reorder the terms:
18 + -4 + 3x + 8x = 2(x + 11) + -3(x + 4)

Combine like terms: 18 + -4 = 14
14 + 3x + 8x = 2(x + 11) + -3(x + 4)

Combine like terms: 3x + 8x = 11x
14 + 11x = 2(x + 11) + -3(x + 4)

Reorder the terms:
14 + 11x = 2(11 + x) + -3(x + 4)
14 + 11x = (11 * 2 + x * 2) + -3(x + 4)
14 + 11x = (22 + 2x) + -3(x + 4)

Reorder the terms:
14 + 11x = 22 + 2x + -3(4 + x)
14 + 11x = 22 + 2x + (4 * -3 + x * -3)
14 + 11x = 22 + 2x + (-12 + -3x)

Reorder the terms:
14 + 11x = 22 + -12 + 2x + -3x

Combine like terms: 22 + -12 = 10
14 + 11x = 10 + 2x + -3x

Combine like terms: 2x + -3x = -1x
14 + 11x = 10 + -1x

Solving
14 + 11x = 10 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
14 + 11x + x = 10 + -1x + x

Combine like terms: 11x + x = 12x
14 + 12x = 10 + -1x + x

Combine like terms: -1x + x = 0
14 + 12x = 10 + 0
14 + 12x = 10

Add '-14' to each side of the equation.
14 + -14 + 12x = 10 + -14

Combine like terms: 14 + -14 = 0
0 + 12x = 10 + -14
12x = 10 + -14

Combine like terms: 10 + -14 = -4
12x = -4

Divide each side by '12'.
x = -0.3333333333

Simplifying
x = -0.3333333333