2[X-(2X+4)+3]=2+(2X+7)

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Solution for 2[X-(2X+4)+3]=2+(2X+7) equation:


Simplifying
2[X + -1(2X + 4) + 3] = 2 + (2X + 7)

Reorder the terms:
2[X + -1(4 + 2X) + 3] = 2 + (2X + 7)
2[X + (4 * -1 + 2X * -1) + 3] = 2 + (2X + 7)
2[X + (-4 + -2X) + 3] = 2 + (2X + 7)

Reorder the terms:
2[-4 + 3 + X + -2X] = 2 + (2X + 7)

Combine like terms: -4 + 3 = -1
2[-1 + X + -2X] = 2 + (2X + 7)

Combine like terms: X + -2X = -1X
2[-1 + -1X] = 2 + (2X + 7)
[-1 * 2 + -1X * 2] = 2 + (2X + 7)
[-2 + -2X] = 2 + (2X + 7)

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

Remove parenthesis around (7 + 2X)
-2 + -2X = 2 + 7 + 2X

Combine like terms: 2 + 7 = 9
-2 + -2X = 9 + 2X

Solving
-2 + -2X = 9 + 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.
-2 + -2X + -2X = 9 + 2X + -2X

Combine like terms: -2X + -2X = -4X
-2 + -4X = 9 + 2X + -2X

Combine like terms: 2X + -2X = 0
-2 + -4X = 9 + 0
-2 + -4X = 9

Add '2' to each side of the equation.
-2 + 2 + -4X = 9 + 2

Combine like terms: -2 + 2 = 0
0 + -4X = 9 + 2
-4X = 9 + 2

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

Divide each side by '-4'.
X = -2.75

Simplifying
X = -2.75

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