-(x+4)+9=6x-12(3x+2)

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Solution for -(x+4)+9=6x-12(3x+2) equation:


Simplifying
-1(x + 4) + 9 = 6x + -12(3x + 2)

Reorder the terms:
-1(4 + x) + 9 = 6x + -12(3x + 2)
(4 * -1 + x * -1) + 9 = 6x + -12(3x + 2)
(-4 + -1x) + 9 = 6x + -12(3x + 2)

Reorder the terms:
-4 + 9 + -1x = 6x + -12(3x + 2)

Combine like terms: -4 + 9 = 5
5 + -1x = 6x + -12(3x + 2)

Reorder the terms:
5 + -1x = 6x + -12(2 + 3x)
5 + -1x = 6x + (2 * -12 + 3x * -12)
5 + -1x = 6x + (-24 + -36x)

Reorder the terms:
5 + -1x = -24 + 6x + -36x

Combine like terms: 6x + -36x = -30x
5 + -1x = -24 + -30x

Solving
5 + -1x = -24 + -30x

Solving for variable 'x'.

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

Add '30x' to each side of the equation.
5 + -1x + 30x = -24 + -30x + 30x

Combine like terms: -1x + 30x = 29x
5 + 29x = -24 + -30x + 30x

Combine like terms: -30x + 30x = 0
5 + 29x = -24 + 0
5 + 29x = -24

Add '-5' to each side of the equation.
5 + -5 + 29x = -24 + -5

Combine like terms: 5 + -5 = 0
0 + 29x = -24 + -5
29x = -24 + -5

Combine like terms: -24 + -5 = -29
29x = -29

Divide each side by '29'.
x = -1

Simplifying
x = -1

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