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

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


Simplifying
3(x + 4x + 4) + -2(x + -9) = 3(2x + -2) + (x + -2x + 2)

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

Combine like terms: x + 4x = 5x
3(4 + 5x) + -2(x + -9) = 3(2x + -2) + (x + -2x + 2)
(4 * 3 + 5x * 3) + -2(x + -9) = 3(2x + -2) + (x + -2x + 2)
(12 + 15x) + -2(x + -9) = 3(2x + -2) + (x + -2x + 2)

Reorder the terms:
12 + 15x + -2(-9 + x) = 3(2x + -2) + (x + -2x + 2)
12 + 15x + (-9 * -2 + x * -2) = 3(2x + -2) + (x + -2x + 2)
12 + 15x + (18 + -2x) = 3(2x + -2) + (x + -2x + 2)

Reorder the terms:
12 + 18 + 15x + -2x = 3(2x + -2) + (x + -2x + 2)

Combine like terms: 12 + 18 = 30
30 + 15x + -2x = 3(2x + -2) + (x + -2x + 2)

Combine like terms: 15x + -2x = 13x
30 + 13x = 3(2x + -2) + (x + -2x + 2)

Reorder the terms:
30 + 13x = 3(-2 + 2x) + (x + -2x + 2)
30 + 13x = (-2 * 3 + 2x * 3) + (x + -2x + 2)
30 + 13x = (-6 + 6x) + (x + -2x + 2)

Reorder the terms:
30 + 13x = -6 + 6x + (2 + x + -2x)

Combine like terms: x + -2x = -1x
30 + 13x = -6 + 6x + (2 + -1x)

Remove parenthesis around (2 + -1x)
30 + 13x = -6 + 6x + 2 + -1x

Reorder the terms:
30 + 13x = -6 + 2 + 6x + -1x

Combine like terms: -6 + 2 = -4
30 + 13x = -4 + 6x + -1x

Combine like terms: 6x + -1x = 5x
30 + 13x = -4 + 5x

Solving
30 + 13x = -4 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
30 + 13x + -5x = -4 + 5x + -5x

Combine like terms: 13x + -5x = 8x
30 + 8x = -4 + 5x + -5x

Combine like terms: 5x + -5x = 0
30 + 8x = -4 + 0
30 + 8x = -4

Add '-30' to each side of the equation.
30 + -30 + 8x = -4 + -30

Combine like terms: 30 + -30 = 0
0 + 8x = -4 + -30
8x = -4 + -30

Combine like terms: -4 + -30 = -34
8x = -34

Divide each side by '8'.
x = -4.25

Simplifying
x = -4.25

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