3(X+2)-2(X-5)=2(13+X)+4(2-X)

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Solution for 3(X+2)-2(X-5)=2(13+X)+4(2-X) equation: 


Simplifying
3(X + 2) + -2(X + -5) = 2(13 + X) + 4(2 + -1X)

Reorder the terms:
3(2 + X) + -2(X + -5) = 2(13 + X) + 4(2 + -1X)
(2 * 3 + X * 3) + -2(X + -5) = 2(13 + X) + 4(2 + -1X)
(6 + 3X) + -2(X + -5) = 2(13 + X) + 4(2 + -1X)

Reorder the terms:
6 + 3X + -2(-5 + X) = 2(13 + X) + 4(2 + -1X)
6 + 3X + (-5 * -2 + X * -2) = 2(13 + X) + 4(2 + -1X)
6 + 3X + (10 + -2X) = 2(13 + X) + 4(2 + -1X)

Reorder the terms:
6 + 10 + 3X + -2X = 2(13 + X) + 4(2 + -1X)

Combine like terms: 6 + 10 = 16
16 + 3X + -2X = 2(13 + X) + 4(2 + -1X)

Combine like terms: 3X + -2X = 1X
16 + 1X = 2(13 + X) + 4(2 + -1X)
16 + 1X = (13 * 2 + X * 2) + 4(2 + -1X)
16 + 1X = (26 + 2X) + 4(2 + -1X)
16 + 1X = 26 + 2X + (2 * 4 + -1X * 4)
16 + 1X = 26 + 2X + (8 + -4X)

Reorder the terms:
16 + 1X = 26 + 8 + 2X + -4X

Combine like terms: 26 + 8 = 34
16 + 1X = 34 + 2X + -4X

Combine like terms: 2X + -4X = -2X
16 + 1X = 34 + -2X

Solving
16 + 1X = 34 + -2X

Solving for variable 'X'.

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

Add '2X' to each side of the equation.
16 + 1X + 2X = 34 + -2X + 2X

Combine like terms: 1X + 2X = 3X
16 + 3X = 34 + -2X + 2X

Combine like terms: -2X + 2X = 0
16 + 3X = 34 + 0
16 + 3X = 34

Add '-16' to each side of the equation.
16 + -16 + 3X = 34 + -16

Combine like terms: 16 + -16 = 0
0 + 3X = 34 + -16
3X = 34 + -16

Combine like terms: 34 + -16 = 18
3X = 18

Divide each side by '3'.
X = 6

Simplifying
X = 6

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