2(X+1)-3(1-X)=2(X-4)

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Solution for 2(X+1)-3(1-X)=2(X-4) equation: 


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

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

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

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

Combine like terms: 2X + 3X = 5X
-1 + 5X = 2(X + -4)

Reorder the terms:
-1 + 5X = 2(-4 + X)
-1 + 5X = (-4 * 2 + X * 2)
-1 + 5X = (-8 + 2X)

Solving
-1 + 5X = -8 + 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.
-1 + 5X + -2X = -8 + 2X + -2X

Combine like terms: 5X + -2X = 3X
-1 + 3X = -8 + 2X + -2X

Combine like terms: 2X + -2X = 0
-1 + 3X = -8 + 0
-1 + 3X = -8

Add '1' to each side of the equation.
-1 + 1 + 3X = -8 + 1

Combine like terms: -1 + 1 = 0
0 + 3X = -8 + 1
3X = -8 + 1

Combine like terms: -8 + 1 = -7
3X = -7

Divide each side by '3'.
X = -2.333333333

Simplifying
X = -2.333333333

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