2(X+1)=6(X-2)-6

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Solution for 2(X+1)=6(X-2)-6 equation: 


Simplifying
2(X + 1) = 6(X + -2) + -6

Reorder the terms:
2(1 + X) = 6(X + -2) + -6
(1 * 2 + X * 2) = 6(X + -2) + -6
(2 + 2X) = 6(X + -2) + -6

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

Reorder the terms:
2 + 2X = -12 + -6 + 6X

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

Solving
2 + 2X = -18 + 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.
2 + 2X + -6X = -18 + 6X + -6X

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

Combine like terms: 6X + -6X = 0
2 + -4X = -18 + 0
2 + -4X = -18

Add '-2' to each side of the equation.
2 + -2 + -4X = -18 + -2

Combine like terms: 2 + -2 = 0
0 + -4X = -18 + -2
-4X = -18 + -2

Combine like terms: -18 + -2 = -20
-4X = -20

Divide each side by '-4'.
X = 5

Simplifying
X = 5

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