4(x-6)-3(x+5)=2(x+3)+2(x-6)

Solution for 4(x-6)-3(x+5)=2(x+3)+2(x-6) equation:

Simplifying
4(x + -6) + -3(x + 5) = 2(x + 3) + 2(x + -6)

Reorder the terms:
4(-6 + x) + -3(x + 5) = 2(x + 3) + 2(x + -6)
(-6 * 4 + x * 4) + -3(x + 5) = 2(x + 3) + 2(x + -6)
(-24 + 4x) + -3(x + 5) = 2(x + 3) + 2(x + -6)

Reorder the terms:
-24 + 4x + -3(5 + x) = 2(x + 3) + 2(x + -6)
-24 + 4x + (5 * -3 + x * -3) = 2(x + 3) + 2(x + -6)
-24 + 4x + (-15 + -3x) = 2(x + 3) + 2(x + -6)

Reorder the terms:
-24 + -15 + 4x + -3x = 2(x + 3) + 2(x + -6)

Combine like terms: -24 + -15 = -39
-39 + 4x + -3x = 2(x + 3) + 2(x + -6)

Combine like terms: 4x + -3x = 1x
-39 + 1x = 2(x + 3) + 2(x + -6)

Reorder the terms:
-39 + 1x = 2(3 + x) + 2(x + -6)
-39 + 1x = (3 * 2 + x * 2) + 2(x + -6)
-39 + 1x = (6 + 2x) + 2(x + -6)

Reorder the terms:
-39 + 1x = 6 + 2x + 2(-6 + x)
-39 + 1x = 6 + 2x + (-6 * 2 + x * 2)
-39 + 1x = 6 + 2x + (-12 + 2x)

Reorder the terms:
-39 + 1x = 6 + -12 + 2x + 2x

Combine like terms: 6 + -12 = -6
-39 + 1x = -6 + 2x + 2x

Combine like terms: 2x + 2x = 4x
-39 + 1x = -6 + 4x

Solving
-39 + 1x = -6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-39 + 1x + -4x = -6 + 4x + -4x

Combine like terms: 1x + -4x = -3x
-39 + -3x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-39 + -3x = -6 + 0
-39 + -3x = -6

Add '39' to each side of the equation.
-39 + 39 + -3x = -6 + 39

Combine like terms: -39 + 39 = 0
0 + -3x = -6 + 39
-3x = -6 + 39

Combine like terms: -6 + 39 = 33
-3x = 33

Divide each side by '-3'.
x = -11

Simplifying
x = -11