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

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


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

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

Reorder the terms:
-8 + 4X = 2 + X + -2X

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

Solving
-8 + 4X = 2 + -1X

Solving for variable 'X'.

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

Add 'X' to each side of the equation.
-8 + 4X + X = 2 + -1X + X

Combine like terms: 4X + X = 5X
-8 + 5X = 2 + -1X + X

Combine like terms: -1X + X = 0
-8 + 5X = 2 + 0
-8 + 5X = 2

Add '8' to each side of the equation.
-8 + 8 + 5X = 2 + 8

Combine like terms: -8 + 8 = 0
0 + 5X = 2 + 8
5X = 2 + 8

Combine like terms: 2 + 8 = 10
5X = 10

Divide each side by '5'.
X = 2

Simplifying
X = 2

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