2[X+2]-X=3[X+1]+9

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Solution for 2[X+2]-X=3[X+1]+9 equation:


Simplifying
2[X + 2] + -1X = 3[X + 1] + 9

Reorder the terms:
2[2 + X] + -1X = 3[X + 1] + 9
[2 * 2 + X * 2] + -1X = 3[X + 1] + 9
[4 + 2X] + -1X = 3[X + 1] + 9

Combine like terms: 2X + -1X = 1X
4 + 1X = 3[X + 1] + 9

Reorder the terms:
4 + 1X = 3[1 + X] + 9
4 + 1X = [1 * 3 + X * 3] + 9
4 + 1X = [3 + 3X] + 9

Reorder the terms:
4 + 1X = 3 + 9 + 3X

Combine like terms: 3 + 9 = 12
4 + 1X = 12 + 3X

Solving
4 + 1X = 12 + 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.
4 + 1X + -3X = 12 + 3X + -3X

Combine like terms: 1X + -3X = -2X
4 + -2X = 12 + 3X + -3X

Combine like terms: 3X + -3X = 0
4 + -2X = 12 + 0
4 + -2X = 12

Add '-4' to each side of the equation.
4 + -4 + -2X = 12 + -4

Combine like terms: 4 + -4 = 0
0 + -2X = 12 + -4
-2X = 12 + -4

Combine like terms: 12 + -4 = 8
-2X = 8

Divide each side by '-2'.
X = -4

Simplifying
X = -4

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