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

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

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

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

Remove parenthesis around (-1x)
6 + 2x + 3 + 3 * -1x = 4(x + 6)

Multiply 3 * -1
6 + 2x + 3 + -3x = 4(x + 6)

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

Combine like terms: 6 + 3 = 9
9 + 2x + -3x = 4(x + 6)

Combine like terms: 2x + -3x = -1x
9 + -1x = 4(x + 6)

Reorder the terms:
9 + -1x = 4(6 + x)
9 + -1x = (6 * 4 + x * 4)
9 + -1x = (24 + 4x)

Solving
9 + -1x = 24 + 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.
9 + -1x + -4x = 24 + 4x + -4x

Combine like terms: -1x + -4x = -5x
9 + -5x = 24 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + -5x = 24 + 0
9 + -5x = 24

Add '-9' to each side of the equation.
9 + -9 + -5x = 24 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = 24 + -9
-5x = 24 + -9

Combine like terms: 24 + -9 = 15
-5x = 15

Divide each side by '-5'.
x = -3

Simplifying
x = -3