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

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


Simplifying
6 + 4(6 + 3x) = 2 + -2(-4x + -6)
6 + (6 * 4 + 3x * 4) = 2 + -2(-4x + -6)
6 + (24 + 12x) = 2 + -2(-4x + -6)

Combine like terms: 6 + 24 = 30
30 + 12x = 2 + -2(-4x + -6)

Reorder the terms:
30 + 12x = 2 + -2(-6 + -4x)
30 + 12x = 2 + (-6 * -2 + -4x * -2)
30 + 12x = 2 + (12 + 8x)

Combine like terms: 2 + 12 = 14
30 + 12x = 14 + 8x

Solving
30 + 12x = 14 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
30 + 12x + -8x = 14 + 8x + -8x

Combine like terms: 12x + -8x = 4x
30 + 4x = 14 + 8x + -8x

Combine like terms: 8x + -8x = 0
30 + 4x = 14 + 0
30 + 4x = 14

Add '-30' to each side of the equation.
30 + -30 + 4x = 14 + -30

Combine like terms: 30 + -30 = 0
0 + 4x = 14 + -30
4x = 14 + -30

Combine like terms: 14 + -30 = -16
4x = -16

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

Simplifying
x = -4

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