(X+6)+(x+3)+(x+9)=2(x+1)+2(x+4)

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Solution for (X+6)+(x+3)+(x+9)=2(x+1)+2(x+4) equation: 


Simplifying
(X + 6) + (x + 3) + (x + 9) = 2(x + 1) + 2(x + 4)

Reorder the terms:
(6 + X) + (x + 3) + (x + 9) = 2(x + 1) + 2(x + 4)

Remove parenthesis around (6 + X)
6 + X + (x + 3) + (x + 9) = 2(x + 1) + 2(x + 4)

Reorder the terms:
6 + X + (3 + x) + (x + 9) = 2(x + 1) + 2(x + 4)

Remove parenthesis around (3 + x)
6 + X + 3 + x + (x + 9) = 2(x + 1) + 2(x + 4)

Reorder the terms:
6 + X + 3 + x + (9 + x) = 2(x + 1) + 2(x + 4)

Remove parenthesis around (9 + x)
6 + X + 3 + x + 9 + x = 2(x + 1) + 2(x + 4)

Reorder the terms:
6 + 3 + 9 + X + x + x = 2(x + 1) + 2(x + 4)

Combine like terms: 6 + 3 = 9
9 + 9 + X + x + x = 2(x + 1) + 2(x + 4)

Combine like terms: 9 + 9 = 18
18 + X + x + x = 2(x + 1) + 2(x + 4)

Combine like terms: x + x = 2x
18 + X + 2x = 2(x + 1) + 2(x + 4)

Reorder the terms:
18 + X + 2x = 2(1 + x) + 2(x + 4)
18 + X + 2x = (1 * 2 + x * 2) + 2(x + 4)
18 + X + 2x = (2 + 2x) + 2(x + 4)

Reorder the terms:
18 + X + 2x = 2 + 2x + 2(4 + x)
18 + X + 2x = 2 + 2x + (4 * 2 + x * 2)
18 + X + 2x = 2 + 2x + (8 + 2x)

Reorder the terms:
18 + X + 2x = 2 + 8 + 2x + 2x

Combine like terms: 2 + 8 = 10
18 + X + 2x = 10 + 2x + 2x

Combine like terms: 2x + 2x = 4x
18 + X + 2x = 10 + 4x

Solving
18 + X + 2x = 10 + 4x

Solving for variable 'X'.

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

Add '-18' to each side of the equation.
18 + X + -18 + 2x = 10 + -18 + 4x

Reorder the terms:
18 + -18 + X + 2x = 10 + -18 + 4x

Combine like terms: 18 + -18 = 0
0 + X + 2x = 10 + -18 + 4x
X + 2x = 10 + -18 + 4x

Combine like terms: 10 + -18 = -8
X + 2x = -8 + 4x

Add '-2x' to each side of the equation.
X + 2x + -2x = -8 + 4x + -2x

Combine like terms: 2x + -2x = 0
X + 0 = -8 + 4x + -2x
X = -8 + 4x + -2x

Combine like terms: 4x + -2x = 2x
X = -8 + 2x

Simplifying
X = -8 + 2x

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