1-2(x-3(x-4(x-5)))=11(11-2x)+2x

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Solution for 1-2(x-3(x-4(x-5)))=11(11-2x)+2x equation: 


Simplifying
1 + -2(x + -3(x + -4(x + -5))) = 11(11 + -2x) + 2x

Reorder the terms:
1 + -2(x + -3(x + -4(-5 + x))) = 11(11 + -2x) + 2x
1 + -2(x + -3(x + (-5 * -4 + x * -4))) = 11(11 + -2x) + 2x
1 + -2(x + -3(x + (20 + -4x))) = 11(11 + -2x) + 2x

Reorder the terms:
1 + -2(x + -3(20 + x + -4x)) = 11(11 + -2x) + 2x

Combine like terms: x + -4x = -3x
1 + -2(x + -3(20 + -3x)) = 11(11 + -2x) + 2x
1 + -2(x + (20 * -3 + -3x * -3)) = 11(11 + -2x) + 2x
1 + -2(x + (-60 + 9x)) = 11(11 + -2x) + 2x

Reorder the terms:
1 + -2(-60 + x + 9x) = 11(11 + -2x) + 2x

Combine like terms: x + 9x = 10x
1 + -2(-60 + 10x) = 11(11 + -2x) + 2x
1 + (-60 * -2 + 10x * -2) = 11(11 + -2x) + 2x
1 + (120 + -20x) = 11(11 + -2x) + 2x

Combine like terms: 1 + 120 = 121
121 + -20x = 11(11 + -2x) + 2x
121 + -20x = (11 * 11 + -2x * 11) + 2x
121 + -20x = (121 + -22x) + 2x

Combine like terms: -22x + 2x = -20x
121 + -20x = 121 + -20x

Add '-121' to each side of the equation.
121 + -121 + -20x = 121 + -121 + -20x

Combine like terms: 121 + -121 = 0
0 + -20x = 121 + -121 + -20x
-20x = 121 + -121 + -20x

Combine like terms: 121 + -121 = 0
-20x = 0 + -20x
-20x = -20x

Add '20x' to each side of the equation.
-20x + 20x = -20x + 20x

Combine like terms: -20x + 20x = 0
0 = -20x + 20x

Combine like terms: -20x + 20x = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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