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

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


Simplifying
2(3 + -2X) = 3X + -4(1 + 3X)
(3 * 2 + -2X * 2) = 3X + -4(1 + 3X)
(6 + -4X) = 3X + -4(1 + 3X)
6 + -4X = 3X + (1 * -4 + 3X * -4)
6 + -4X = 3X + (-4 + -12X)

Reorder the terms:
6 + -4X = -4 + 3X + -12X

Combine like terms: 3X + -12X = -9X
6 + -4X = -4 + -9X

Solving
6 + -4X = -4 + -9X

Solving for variable 'X'.

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

Add '9X' to each side of the equation.
6 + -4X + 9X = -4 + -9X + 9X

Combine like terms: -4X + 9X = 5X
6 + 5X = -4 + -9X + 9X

Combine like terms: -9X + 9X = 0
6 + 5X = -4 + 0
6 + 5X = -4

Add '-6' to each side of the equation.
6 + -6 + 5X = -4 + -6

Combine like terms: 6 + -6 = 0
0 + 5X = -4 + -6
5X = -4 + -6

Combine like terms: -4 + -6 = -10
5X = -10

Divide each side by '5'.
X = -2

Simplifying
X = -2

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