2(x+2)=6x+12

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


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

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

Reorder the terms:
4 + 2x = 12 + 6x

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

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

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

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

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

Combine like terms: 12 + -4 = 8
-4x = 8

Divide each side by '-4'.
x = -2

Simplifying
x = -2

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