2(3x-2)-12=4x+14

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Solution for 2(3x-2)-12=4x+14 equation: 


Simplifying
2(3x + -2) + -12 = 4x + 14

Reorder the terms:
2(-2 + 3x) + -12 = 4x + 14
(-2 * 2 + 3x * 2) + -12 = 4x + 14
(-4 + 6x) + -12 = 4x + 14

Reorder the terms:
-4 + -12 + 6x = 4x + 14

Combine like terms: -4 + -12 = -16
-16 + 6x = 4x + 14

Reorder the terms:
-16 + 6x = 14 + 4x

Solving
-16 + 6x = 14 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-16 + 6x + -4x = 14 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-16 + 2x = 14 + 4x + -4x

Combine like terms: 4x + -4x = 0
-16 + 2x = 14 + 0
-16 + 2x = 14

Add '16' to each side of the equation.
-16 + 16 + 2x = 14 + 16

Combine like terms: -16 + 16 = 0
0 + 2x = 14 + 16
2x = 14 + 16

Combine like terms: 14 + 16 = 30
2x = 30

Divide each side by '2'.
x = 15

Simplifying
x = 15

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