2(3x-1)+2(2x+2)=4x-6+5x-6+4x+2

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Solution for 2(3x-1)+2(2x+2)=4x-6+5x-6+4x+2 equation: 


Simplifying
2(3x + -1) + 2(2x + 2) = 4x + -6 + 5x + -6 + 4x + 2

Reorder the terms:
2(-1 + 3x) + 2(2x + 2) = 4x + -6 + 5x + -6 + 4x + 2
(-1 * 2 + 3x * 2) + 2(2x + 2) = 4x + -6 + 5x + -6 + 4x + 2
(-2 + 6x) + 2(2x + 2) = 4x + -6 + 5x + -6 + 4x + 2

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

Reorder the terms:
-2 + 4 + 6x + 4x = 4x + -6 + 5x + -6 + 4x + 2

Combine like terms: -2 + 4 = 2
2 + 6x + 4x = 4x + -6 + 5x + -6 + 4x + 2

Combine like terms: 6x + 4x = 10x
2 + 10x = 4x + -6 + 5x + -6 + 4x + 2

Reorder the terms:
2 + 10x = -6 + -6 + 2 + 4x + 5x + 4x

Combine like terms: -6 + -6 = -12
2 + 10x = -12 + 2 + 4x + 5x + 4x

Combine like terms: -12 + 2 = -10
2 + 10x = -10 + 4x + 5x + 4x

Combine like terms: 4x + 5x = 9x
2 + 10x = -10 + 9x + 4x

Combine like terms: 9x + 4x = 13x
2 + 10x = -10 + 13x

Solving
2 + 10x = -10 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
2 + 10x + -13x = -10 + 13x + -13x

Combine like terms: 10x + -13x = -3x
2 + -3x = -10 + 13x + -13x

Combine like terms: 13x + -13x = 0
2 + -3x = -10 + 0
2 + -3x = -10

Add '-2' to each side of the equation.
2 + -2 + -3x = -10 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = -10 + -2
-3x = -10 + -2

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

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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