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

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

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

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

Combine like terms: 6 + 6 = 12
12 + 2x = 5 + -3(x + 1)

Reorder the terms:
12 + 2x = 5 + -3(1 + x)
12 + 2x = 5 + (1 * -3 + x * -3)
12 + 2x = 5 + (-3 + -3x)

Combine like terms: 5 + -3 = 2
12 + 2x = 2 + -3x

Solving
12 + 2x = 2 + -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.
12 + 2x + 3x = 2 + -3x + 3x

Combine like terms: 2x + 3x = 5x
12 + 5x = 2 + -3x + 3x

Combine like terms: -3x + 3x = 0
12 + 5x = 2 + 0
12 + 5x = 2

Add '-12' to each side of the equation.
12 + -12 + 5x = 2 + -12

Combine like terms: 12 + -12 = 0
0 + 5x = 2 + -12
5x = 2 + -12

Combine like terms: 2 + -12 = -10
5x = -10

Divide each side by '5'.
x = -2

Simplifying
x = -2

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