40+(180-50-x)+(180-40-(180-50-x))=180

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Solution for 40+(180-50-x)+(180-40-(180-50-x))=180 equation: 


Simplifying
40 + (180 + -50 + -1x) + (180 + -40 + -1(180 + -50 + -1x)) = 180

Combine like terms: 180 + -50 = 130
40 + (130 + -1x) + (180 + -40 + -1(180 + -50 + -1x)) = 180

Remove parenthesis around (130 + -1x)
40 + 130 + -1x + (180 + -40 + -1(180 + -50 + -1x)) = 180

Combine like terms: 180 + -50 = 130
40 + 130 + -1x + (180 + -40 + -1(130 + -1x)) = 180
40 + 130 + -1x + (180 + -40 + (130 * -1 + -1x * -1)) = 180
40 + 130 + -1x + (180 + -40 + (-130 + 1x)) = 180

Combine like terms: 180 + -40 = 140
40 + 130 + -1x + (140 + -130 + 1x) = 180

Combine like terms: 140 + -130 = 10
40 + 130 + -1x + (10 + 1x) = 180

Remove parenthesis around (10 + 1x)
40 + 130 + -1x + 10 + 1x = 180

Reorder the terms:
40 + 130 + 10 + -1x + 1x = 180

Combine like terms: 40 + 130 = 170
170 + 10 + -1x + 1x = 180

Combine like terms: 170 + 10 = 180
180 + -1x + 1x = 180

Combine like terms: -1x + 1x = 0
180 + 0 = 180
180 = 180

Add '-180' to each side of the equation.
180 + -180 = 180 + -180

Combine like terms: 180 + -180 = 0
0 = 180 + -180

Combine like terms: 180 + -180 = 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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