(2x+27)+(2x-11)=180

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Solution for (2x+27)+(2x-11)=180 equation:


Simplifying
(2x + 27) + (2x + -11) = 180

Reorder the terms:
(27 + 2x) + (2x + -11) = 180

Remove parenthesis around (27 + 2x)
27 + 2x + (2x + -11) = 180

Reorder the terms:
27 + 2x + (-11 + 2x) = 180

Remove parenthesis around (-11 + 2x)
27 + 2x + -11 + 2x = 180

Reorder the terms:
27 + -11 + 2x + 2x = 180

Combine like terms: 27 + -11 = 16
16 + 2x + 2x = 180

Combine like terms: 2x + 2x = 4x
16 + 4x = 180

Solving
16 + 4x = 180

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 4x = 180 + -16

Combine like terms: 16 + -16 = 0
0 + 4x = 180 + -16
4x = 180 + -16

Combine like terms: 180 + -16 = 164
4x = 164

Divide each side by '4'.
x = 41

Simplifying
x = 41

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