2(-2x-4)+6=5-3(x-1)

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Solution for 2(-2x-4)+6=5-3(x-1) equation: 


Simplifying
2(-2x + -4) + 6 = 5 + -3(x + -1)

Reorder the terms:
2(-4 + -2x) + 6 = 5 + -3(x + -1)
(-4 * 2 + -2x * 2) + 6 = 5 + -3(x + -1)
(-8 + -4x) + 6 = 5 + -3(x + -1)

Reorder the terms:
-8 + 6 + -4x = 5 + -3(x + -1)

Combine like terms: -8 + 6 = -2
-2 + -4x = 5 + -3(x + -1)

Reorder the terms:
-2 + -4x = 5 + -3(-1 + x)
-2 + -4x = 5 + (-1 * -3 + x * -3)
-2 + -4x = 5 + (3 + -3x)

Combine like terms: 5 + 3 = 8
-2 + -4x = 8 + -3x

Solving
-2 + -4x = 8 + -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.
-2 + -4x + 3x = 8 + -3x + 3x

Combine like terms: -4x + 3x = -1x
-2 + -1x = 8 + -3x + 3x

Combine like terms: -3x + 3x = 0
-2 + -1x = 8 + 0
-2 + -1x = 8

Add '2' to each side of the equation.
-2 + 2 + -1x = 8 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 8 + 2
-1x = 8 + 2

Combine like terms: 8 + 2 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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