(6x+2)=(12x-40)

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Solution for (6x+2)=(12x-40) equation:


Simplifying
(6x + 2) = (12x + -40)

Reorder the terms:
(2 + 6x) = (12x + -40)

Remove parenthesis around (2 + 6x)
2 + 6x = (12x + -40)

Reorder the terms:
2 + 6x = (-40 + 12x)

Remove parenthesis around (-40 + 12x)
2 + 6x = -40 + 12x

Solving
2 + 6x = -40 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
2 + 6x + -12x = -40 + 12x + -12x

Combine like terms: 6x + -12x = -6x
2 + -6x = -40 + 12x + -12x

Combine like terms: 12x + -12x = 0
2 + -6x = -40 + 0
2 + -6x = -40

Add '-2' to each side of the equation.
2 + -2 + -6x = -40 + -2

Combine like terms: 2 + -2 = 0
0 + -6x = -40 + -2
-6x = -40 + -2

Combine like terms: -40 + -2 = -42
-6x = -42

Divide each side by '-6'.
x = 7

Simplifying
x = 7

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