2(X+2)+3(X-6)=6

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Solution for 2(X+2)+3(X-6)=6 equation: 


Simplifying
2(X + 2) + 3(X + -6) = 6

Reorder the terms:
2(2 + X) + 3(X + -6) = 6
(2 * 2 + X * 2) + 3(X + -6) = 6
(4 + 2X) + 3(X + -6) = 6

Reorder the terms:
4 + 2X + 3(-6 + X) = 6
4 + 2X + (-6 * 3 + X * 3) = 6
4 + 2X + (-18 + 3X) = 6

Reorder the terms:
4 + -18 + 2X + 3X = 6

Combine like terms: 4 + -18 = -14
-14 + 2X + 3X = 6

Combine like terms: 2X + 3X = 5X
-14 + 5X = 6

Solving
-14 + 5X = 6

Solving for variable 'X'.

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

Add '14' to each side of the equation.
-14 + 14 + 5X = 6 + 14

Combine like terms: -14 + 14 = 0
0 + 5X = 6 + 14
5X = 6 + 14

Combine like terms: 6 + 14 = 20
5X = 20

Divide each side by '5'.
X = 4

Simplifying
X = 4

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