X+(x+20)+(x+31)=180

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Solution for X+(x+20)+(x+31)=180 equation:


Simplifying
X + (x + 20) + (x + 31) = 180

Reorder the terms:
X + (20 + x) + (x + 31) = 180

Remove parenthesis around (20 + x)
X + 20 + x + (x + 31) = 180

Reorder the terms:
X + 20 + x + (31 + x) = 180

Remove parenthesis around (31 + x)
X + 20 + x + 31 + x = 180

Reorder the terms:
20 + 31 + X + x + x = 180

Combine like terms: 20 + 31 = 51
51 + X + x + x = 180

Combine like terms: x + x = 2x
51 + X + 2x = 180

Solving
51 + X + 2x = 180

Solving for variable 'X'.

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

Add '-51' to each side of the equation.
51 + X + -51 + 2x = 180 + -51

Reorder the terms:
51 + -51 + X + 2x = 180 + -51

Combine like terms: 51 + -51 = 0
0 + X + 2x = 180 + -51
X + 2x = 180 + -51

Combine like terms: 180 + -51 = 129
X + 2x = 129

Add '-2x' to each side of the equation.
X + 2x + -2x = 129 + -2x

Combine like terms: 2x + -2x = 0
X + 0 = 129 + -2x
X = 129 + -2x

Simplifying
X = 129 + -2x

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