3(4x-2)-14=2(6-2x)

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Solution for 3(4x-2)-14=2(6-2x) equation:


Simplifying
3(4x + -2) + -14 = 2(6 + -2x)

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

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

Combine like terms: -6 + -14 = -20
-20 + 12x = 2(6 + -2x)
-20 + 12x = (6 * 2 + -2x * 2)
-20 + 12x = (12 + -4x)

Solving
-20 + 12x = 12 + -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.
-20 + 12x + 4x = 12 + -4x + 4x

Combine like terms: 12x + 4x = 16x
-20 + 16x = 12 + -4x + 4x

Combine like terms: -4x + 4x = 0
-20 + 16x = 12 + 0
-20 + 16x = 12

Add '20' to each side of the equation.
-20 + 20 + 16x = 12 + 20

Combine like terms: -20 + 20 = 0
0 + 16x = 12 + 20
16x = 12 + 20

Combine like terms: 12 + 20 = 32
16x = 32

Divide each side by '16'.
x = 2

Simplifying
x = 2

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