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

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


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

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

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

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

Remove parenthesis around (-5 + -4x)
2x + -2 + -5 + -4x = 1

Reorder the terms:
-2 + -5 + 2x + -4x = 1

Combine like terms: -2 + -5 = -7
-7 + 2x + -4x = 1

Combine like terms: 2x + -4x = -2x
-7 + -2x = 1

Solving
-7 + -2x = 1

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + -2x = 1 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = 1 + 7
-2x = 1 + 7

Combine like terms: 1 + 7 = 8
-2x = 8

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

Simplifying
x = -4

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