2(3(x+1)+2)+2=6

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Solution for 2(3(x+1)+2)+2=6 equation:


Simplifying
2(3(x + 1) + 2) + 2 = 6

Reorder the terms:
2(3(1 + x) + 2) + 2 = 6
2((1 * 3 + x * 3) + 2) + 2 = 6
2((3 + 3x) + 2) + 2 = 6

Reorder the terms:
2(3 + 2 + 3x) + 2 = 6

Combine like terms: 3 + 2 = 5
2(5 + 3x) + 2 = 6
(5 * 2 + 3x * 2) + 2 = 6
(10 + 6x) + 2 = 6

Reorder the terms:
10 + 2 + 6x = 6

Combine like terms: 10 + 2 = 12
12 + 6x = 6

Solving
12 + 6x = 6

Solving for variable 'x'.

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

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

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

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

Divide each side by '6'.
x = -1

Simplifying
x = -1

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