(X-13)+(x-13)+52=180

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Solution for (X-13)+(x-13)+52=180 equation:


Simplifying
(X + -13) + (x + -13) + 52 = 180

Reorder the terms:
(-13 + X) + (x + -13) + 52 = 180

Remove parenthesis around (-13 + X)
-13 + X + (x + -13) + 52 = 180

Reorder the terms:
-13 + X + (-13 + x) + 52 = 180

Remove parenthesis around (-13 + x)
-13 + X + -13 + x + 52 = 180

Reorder the terms:
-13 + -13 + 52 + X + x = 180

Combine like terms: -13 + -13 = -26
-26 + 52 + X + x = 180

Combine like terms: -26 + 52 = 26
26 + X + x = 180

Solving
26 + X + x = 180

Solving for variable 'X'.

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

Add '-26' to each side of the equation.
26 + X + -26 + x = 180 + -26

Reorder the terms:
26 + -26 + X + x = 180 + -26

Combine like terms: 26 + -26 = 0
0 + X + x = 180 + -26
X + x = 180 + -26

Combine like terms: 180 + -26 = 154
X + x = 154

Add '-1x' to each side of the equation.
X + x + -1x = 154 + -1x

Combine like terms: x + -1x = 0
X + 0 = 154 + -1x
X = 154 + -1x

Simplifying
X = 154 + -1x

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