3-2(3x-6)=2(2-4x)

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Solution for 3-2(3x-6)=2(2-4x) equation:


Simplifying
3 + -2(3x + -6) = 2(2 + -4x)

Reorder the terms:
3 + -2(-6 + 3x) = 2(2 + -4x)
3 + (-6 * -2 + 3x * -2) = 2(2 + -4x)
3 + (12 + -6x) = 2(2 + -4x)

Combine like terms: 3 + 12 = 15
15 + -6x = 2(2 + -4x)
15 + -6x = (2 * 2 + -4x * 2)
15 + -6x = (4 + -8x)

Solving
15 + -6x = 4 + -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.
15 + -6x + 8x = 4 + -8x + 8x

Combine like terms: -6x + 8x = 2x
15 + 2x = 4 + -8x + 8x

Combine like terms: -8x + 8x = 0
15 + 2x = 4 + 0
15 + 2x = 4

Add '-15' to each side of the equation.
15 + -15 + 2x = 4 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = 4 + -15
2x = 4 + -15

Combine like terms: 4 + -15 = -11
2x = -11

Divide each side by '2'.
x = -5.5

Simplifying
x = -5.5

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