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

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


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

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

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

Combine like terms: -2 + 6 = 4
4 + 2X + -3X = 4(X + 2)

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

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

Solving
4 + -1X = 8 + 4X

Solving for variable 'X'.

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

Add '-4X' to each side of the equation.
4 + -1X + -4X = 8 + 4X + -4X

Combine like terms: -1X + -4X = -5X
4 + -5X = 8 + 4X + -4X

Combine like terms: 4X + -4X = 0
4 + -5X = 8 + 0
4 + -5X = 8

Add '-4' to each side of the equation.
4 + -4 + -5X = 8 + -4

Combine like terms: 4 + -4 = 0
0 + -5X = 8 + -4
-5X = 8 + -4

Combine like terms: 8 + -4 = 4
-5X = 4

Divide each side by '-5'.
X = -0.8

Simplifying
X = -0.8

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