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

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


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

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

Reorder the terms:
6 + -4 + -2x = -8x + 2x + -6

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

Reorder the terms:
2 + -2x = -6 + -8x + 2x

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

Solving
2 + -2x = -6 + -6x

Solving for variable 'x'.

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

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

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

Combine like terms: -6x + 6x = 0
2 + 4x = -6 + 0
2 + 4x = -6

Add '-2' to each side of the equation.
2 + -2 + 4x = -6 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = -6 + -2
4x = -6 + -2

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

Divide each side by '4'.
x = -2

Simplifying
x = -2

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