6-9(-2x-4)=3(4x-8)

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Solution for 6-9(-2x-4)=3(4x-8) equation: 


Simplifying
6 + -9(-2x + -4) = 3(4x + -8)

Reorder the terms:
6 + -9(-4 + -2x) = 3(4x + -8)
6 + (-4 * -9 + -2x * -9) = 3(4x + -8)
6 + (36 + 18x) = 3(4x + -8)

Combine like terms: 6 + 36 = 42
42 + 18x = 3(4x + -8)

Reorder the terms:
42 + 18x = 3(-8 + 4x)
42 + 18x = (-8 * 3 + 4x * 3)
42 + 18x = (-24 + 12x)

Solving
42 + 18x = -24 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
42 + 18x + -12x = -24 + 12x + -12x

Combine like terms: 18x + -12x = 6x
42 + 6x = -24 + 12x + -12x

Combine like terms: 12x + -12x = 0
42 + 6x = -24 + 0
42 + 6x = -24

Add '-42' to each side of the equation.
42 + -42 + 6x = -24 + -42

Combine like terms: 42 + -42 = 0
0 + 6x = -24 + -42
6x = -24 + -42

Combine like terms: -24 + -42 = -66
6x = -66

Divide each side by '6'.
x = -11

Simplifying
x = -11

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