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

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


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

Reorder the terms:
2(-1 + 4x) + 2(2x + 3) = 4x + -6 + 6x + -6 + 5x + 4
(-1 * 2 + 4x * 2) + 2(2x + 3) = 4x + -6 + 6x + -6 + 5x + 4
(-2 + 8x) + 2(2x + 3) = 4x + -6 + 6x + -6 + 5x + 4

Reorder the terms:
-2 + 8x + 2(3 + 2x) = 4x + -6 + 6x + -6 + 5x + 4
-2 + 8x + (3 * 2 + 2x * 2) = 4x + -6 + 6x + -6 + 5x + 4
-2 + 8x + (6 + 4x) = 4x + -6 + 6x + -6 + 5x + 4

Reorder the terms:
-2 + 6 + 8x + 4x = 4x + -6 + 6x + -6 + 5x + 4

Combine like terms: -2 + 6 = 4
4 + 8x + 4x = 4x + -6 + 6x + -6 + 5x + 4

Combine like terms: 8x + 4x = 12x
4 + 12x = 4x + -6 + 6x + -6 + 5x + 4

Reorder the terms:
4 + 12x = -6 + -6 + 4 + 4x + 6x + 5x

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

Combine like terms: -12 + 4 = -8
4 + 12x = -8 + 4x + 6x + 5x

Combine like terms: 4x + 6x = 10x
4 + 12x = -8 + 10x + 5x

Combine like terms: 10x + 5x = 15x
4 + 12x = -8 + 15x

Solving
4 + 12x = -8 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
4 + 12x + -15x = -8 + 15x + -15x

Combine like terms: 12x + -15x = -3x
4 + -3x = -8 + 15x + -15x

Combine like terms: 15x + -15x = 0
4 + -3x = -8 + 0
4 + -3x = -8

Add '-4' to each side of the equation.
4 + -4 + -3x = -8 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = -8 + -4
-3x = -8 + -4

Combine like terms: -8 + -4 = -12
-3x = -12

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

Simplifying
x = 4

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