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

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


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

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

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

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

Reorder the terms:
-3 + 5X = 4(-1 + 2X) + -4
-3 + 5X = (-1 * 4 + 2X * 4) + -4
-3 + 5X = (-4 + 8X) + -4

Reorder the terms:
-3 + 5X = -4 + -4 + 8X

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

Solving
-3 + 5X = -8 + 8X

Solving for variable 'X'.

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

Add '-8X' to each side of the equation.
-3 + 5X + -8X = -8 + 8X + -8X

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

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

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

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

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

Divide each side by '-3'.
X = 1.666666667

Simplifying
X = 1.666666667

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