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

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


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

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

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

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

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

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

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

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

Add '2' to each side of the equation.
-2 + 2 + -1x = -3 + 2

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

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

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

Simplifying
x = 1

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