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

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


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

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

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

Remove parenthesis around (-6 + 4x)
12 + 2x = -6 + 4x

Solving
12 + 2x = -6 + 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.
12 + 2x + -4x = -6 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
12 + -2x = -6 + 0
12 + -2x = -6

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

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

Combine like terms: -6 + -12 = -18
-2x = -18

Divide each side by '-2'.
x = 9

Simplifying
x = 9

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