3x-4(X-1)=2(7-3X)

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Solution for 3x-4(X-1)=2(7-3X) equation: 


Simplifying
3x + -4(X + -1) = 2(7 + -3X)

Reorder the terms:
3x + -4(-1 + X) = 2(7 + -3X)
3x + (-1 * -4 + X * -4) = 2(7 + -3X)
3x + (4 + -4X) = 2(7 + -3X)

Reorder the terms:
4 + -4X + 3x = 2(7 + -3X)
4 + -4X + 3x = (7 * 2 + -3X * 2)
4 + -4X + 3x = (14 + -6X)

Solving
4 + -4X + 3x = 14 + -6X

Solving for variable 'X'.

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

Add '6X' to each side of the equation.
4 + -4X + 6X + 3x = 14 + -6X + 6X

Combine like terms: -4X + 6X = 2X
4 + 2X + 3x = 14 + -6X + 6X

Combine like terms: -6X + 6X = 0
4 + 2X + 3x = 14 + 0
4 + 2X + 3x = 14

Add '-4' to each side of the equation.
4 + 2X + -4 + 3x = 14 + -4

Reorder the terms:
4 + -4 + 2X + 3x = 14 + -4

Combine like terms: 4 + -4 = 0
0 + 2X + 3x = 14 + -4
2X + 3x = 14 + -4

Combine like terms: 14 + -4 = 10
2X + 3x = 10

Add '-3x' to each side of the equation.
2X + 3x + -3x = 10 + -3x

Combine like terms: 3x + -3x = 0
2X + 0 = 10 + -3x
2X = 10 + -3x

Divide each side by '2'.
X = 5 + -1.5x

Simplifying
X = 5 + -1.5x

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