2(x+6)+8=6(x+2)+12

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Solution for 2(x+6)+8=6(x+2)+12 equation: 


Simplifying
2(x + 6) + 8 = 6(x + 2) + 12

Reorder the terms:
2(6 + x) + 8 = 6(x + 2) + 12
(6 * 2 + x * 2) + 8 = 6(x + 2) + 12
(12 + 2x) + 8 = 6(x + 2) + 12

Reorder the terms:
12 + 8 + 2x = 6(x + 2) + 12

Combine like terms: 12 + 8 = 20
20 + 2x = 6(x + 2) + 12

Reorder the terms:
20 + 2x = 6(2 + x) + 12
20 + 2x = (2 * 6 + x * 6) + 12
20 + 2x = (12 + 6x) + 12

Reorder the terms:
20 + 2x = 12 + 12 + 6x

Combine like terms: 12 + 12 = 24
20 + 2x = 24 + 6x

Solving
20 + 2x = 24 + 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.
20 + 2x + -6x = 24 + 6x + -6x

Combine like terms: 2x + -6x = -4x
20 + -4x = 24 + 6x + -6x

Combine like terms: 6x + -6x = 0
20 + -4x = 24 + 0
20 + -4x = 24

Add '-20' to each side of the equation.
20 + -20 + -4x = 24 + -20

Combine like terms: 20 + -20 = 0
0 + -4x = 24 + -20
-4x = 24 + -20

Combine like terms: 24 + -20 = 4
-4x = 4

Divide each side by '-4'.
x = -1

Simplifying
x = -1

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