2(6x+4)+6=4(2x-4)-14

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Solution for 2(6x+4)+6=4(2x-4)-14 equation:


Simplifying
2(6x + 4) + 6 = 4(2x + -4) + -14

Reorder the terms:
2(4 + 6x) + 6 = 4(2x + -4) + -14
(4 * 2 + 6x * 2) + 6 = 4(2x + -4) + -14
(8 + 12x) + 6 = 4(2x + -4) + -14

Reorder the terms:
8 + 6 + 12x = 4(2x + -4) + -14

Combine like terms: 8 + 6 = 14
14 + 12x = 4(2x + -4) + -14

Reorder the terms:
14 + 12x = 4(-4 + 2x) + -14
14 + 12x = (-4 * 4 + 2x * 4) + -14
14 + 12x = (-16 + 8x) + -14

Reorder the terms:
14 + 12x = -16 + -14 + 8x

Combine like terms: -16 + -14 = -30
14 + 12x = -30 + 8x

Solving
14 + 12x = -30 + 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.
14 + 12x + -8x = -30 + 8x + -8x

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

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

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

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

Combine like terms: -30 + -14 = -44
4x = -44

Divide each side by '4'.
x = -11

Simplifying
x = -11

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