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

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


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

Reorder the terms:
6 + -6x = 4(-6 + -2x)
6 + -6x = (-6 * 4 + -2x * 4)
6 + -6x = (-24 + -8x)

Solving
6 + -6x = -24 + -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.
6 + -6x + 8x = -24 + -8x + 8x

Combine like terms: -6x + 8x = 2x
6 + 2x = -24 + -8x + 8x

Combine like terms: -8x + 8x = 0
6 + 2x = -24 + 0
6 + 2x = -24

Add '-6' to each side of the equation.
6 + -6 + 2x = -24 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = -24 + -6
2x = -24 + -6

Combine like terms: -24 + -6 = -30
2x = -30

Divide each side by '2'.
x = -15

Simplifying
x = -15

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