2X+3(X-3)+4(1-X)=2X-8

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Solution for 2X+3(X-3)+4(1-X)=2X-8 equation: 


Simplifying
2X + 3(X + -3) + 4(1 + -1X) = 2X + -8

Reorder the terms:
2X + 3(-3 + X) + 4(1 + -1X) = 2X + -8
2X + (-3 * 3 + X * 3) + 4(1 + -1X) = 2X + -8
2X + (-9 + 3X) + 4(1 + -1X) = 2X + -8
2X + -9 + 3X + (1 * 4 + -1X * 4) = 2X + -8
2X + -9 + 3X + (4 + -4X) = 2X + -8

Reorder the terms:
-9 + 4 + 2X + 3X + -4X = 2X + -8

Combine like terms: -9 + 4 = -5
-5 + 2X + 3X + -4X = 2X + -8

Combine like terms: 2X + 3X = 5X
-5 + 5X + -4X = 2X + -8

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

Reorder the terms:
-5 + 1X = -8 + 2X

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

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

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

Add '5' to each side of the equation.
-5 + 5 + -1X = -8 + 5

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

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

Divide each side by '-1'.
X = 3

Simplifying
X = 3

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