(2x+12)=(6x-16)

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Solution for (2x+12)=(6x-16) equation:


Simplifying
(2x + 12) = (6x + -16)

Reorder the terms:
(12 + 2x) = (6x + -16)

Remove parenthesis around (12 + 2x)
12 + 2x = (6x + -16)

Reorder the terms:
12 + 2x = (-16 + 6x)

Remove parenthesis around (-16 + 6x)
12 + 2x = -16 + 6x

Solving
12 + 2x = -16 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
12 + 2x + -6x = -16 + 6x + -6x

Combine like terms: 2x + -6x = -4x
12 + -4x = -16 + 6x + -6x

Combine like terms: 6x + -6x = 0
12 + -4x = -16 + 0
12 + -4x = -16

Add '-12' to each side of the equation.
12 + -12 + -4x = -16 + -12

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

Combine like terms: -16 + -12 = -28
-4x = -28

Divide each side by '-4'.
x = 7

Simplifying
x = 7

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