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

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


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

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

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

Combine like terms: 1 + -1 = 0
0 + 2 + x + -1x = 2(x + 6) + -1(-2) + -2
2 + x + -1x = 2(x + 6) + -1(-2) + -2

Combine like terms: x + -1x = 0
2 + 0 = 2(x + 6) + -1(-2) + -2
2 = 2(x + 6) + -1(-2) + -2

Reorder the terms:
2 = 2(6 + x) + -1(-2) + -2
2 = (6 * 2 + x * 2) + -1(-2) + -2
2 = (12 + 2x) + -1(-2) + -2

Multiply -1 * -2
2 = 12 + 2x + 2 + -2

Reorder the terms:
2 = 12 + 2 + -2 + 2x

Combine like terms: 12 + 2 = 14
2 = 14 + -2 + 2x

Combine like terms: 14 + -2 = 12
2 = 12 + 2x

Solving
2 = 12 + 2x

Solving for variable 'x'.

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

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

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

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

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

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

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

Simplifying
x = -5

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