2X+2(X-7)=(X+9)+(X+2)+(X-7)

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Solution for 2X+2(X-7)=(X+9)+(X+2)+(X-7) equation: 


Simplifying
2X + 2(X + -7) = (X + 9) + (X + 2) + (X + -7)

Reorder the terms:
2X + 2(-7 + X) = (X + 9) + (X + 2) + (X + -7)
2X + (-7 * 2 + X * 2) = (X + 9) + (X + 2) + (X + -7)
2X + (-14 + 2X) = (X + 9) + (X + 2) + (X + -7)

Reorder the terms:
-14 + 2X + 2X = (X + 9) + (X + 2) + (X + -7)

Combine like terms: 2X + 2X = 4X
-14 + 4X = (X + 9) + (X + 2) + (X + -7)

Reorder the terms:
-14 + 4X = (9 + X) + (X + 2) + (X + -7)

Remove parenthesis around (9 + X)
-14 + 4X = 9 + X + (X + 2) + (X + -7)

Reorder the terms:
-14 + 4X = 9 + X + (2 + X) + (X + -7)

Remove parenthesis around (2 + X)
-14 + 4X = 9 + X + 2 + X + (X + -7)

Reorder the terms:
-14 + 4X = 9 + X + 2 + X + (-7 + X)

Remove parenthesis around (-7 + X)
-14 + 4X = 9 + X + 2 + X + -7 + X

Reorder the terms:
-14 + 4X = 9 + 2 + -7 + X + X + X

Combine like terms: 9 + 2 = 11
-14 + 4X = 11 + -7 + X + X + X

Combine like terms: 11 + -7 = 4
-14 + 4X = 4 + X + X + X

Combine like terms: X + X = 2X
-14 + 4X = 4 + 2X + X

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

Solving
-14 + 4X = 4 + 3X

Solving for variable 'X'.

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

Add '-3X' to each side of the equation.
-14 + 4X + -3X = 4 + 3X + -3X

Combine like terms: 4X + -3X = 1X
-14 + 1X = 4 + 3X + -3X

Combine like terms: 3X + -3X = 0
-14 + 1X = 4 + 0
-14 + 1X = 4

Add '14' to each side of the equation.
-14 + 14 + 1X = 4 + 14

Combine like terms: -14 + 14 = 0
0 + 1X = 4 + 14
1X = 4 + 14

Combine like terms: 4 + 14 = 18
1X = 18

Divide each side by '1'.
X = 18

Simplifying
X = 18

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