7x-2(4x-8)=6x+12-9x

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Solution for 7x-2(4x-8)=6x+12-9x equation: 


Simplifying
7x + -2(4x + -8) = 6x + 12 + -9x

Reorder the terms:
7x + -2(-8 + 4x) = 6x + 12 + -9x
7x + (-8 * -2 + 4x * -2) = 6x + 12 + -9x
7x + (16 + -8x) = 6x + 12 + -9x

Reorder the terms:
16 + 7x + -8x = 6x + 12 + -9x

Combine like terms: 7x + -8x = -1x
16 + -1x = 6x + 12 + -9x

Reorder the terms:
16 + -1x = 12 + 6x + -9x

Combine like terms: 6x + -9x = -3x
16 + -1x = 12 + -3x

Solving
16 + -1x = 12 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
16 + -1x + 3x = 12 + -3x + 3x

Combine like terms: -1x + 3x = 2x
16 + 2x = 12 + -3x + 3x

Combine like terms: -3x + 3x = 0
16 + 2x = 12 + 0
16 + 2x = 12

Add '-16' to each side of the equation.
16 + -16 + 2x = 12 + -16

Combine like terms: 16 + -16 = 0
0 + 2x = 12 + -16
2x = 12 + -16

Combine like terms: 12 + -16 = -4
2x = -4

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

Simplifying
x = -2

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