(2x-11)+(2x+27)+3x=180

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Solution for (2x-11)+(2x+27)+3x=180 equation:


Simplifying
(2x + -11) + (2x + 27) + 3x = 180

Reorder the terms:
(-11 + 2x) + (2x + 27) + 3x = 180

Remove parenthesis around (-11 + 2x)
-11 + 2x + (2x + 27) + 3x = 180

Reorder the terms:
-11 + 2x + (27 + 2x) + 3x = 180

Remove parenthesis around (27 + 2x)
-11 + 2x + 27 + 2x + 3x = 180

Reorder the terms:
-11 + 27 + 2x + 2x + 3x = 180

Combine like terms: -11 + 27 = 16
16 + 2x + 2x + 3x = 180

Combine like terms: 2x + 2x = 4x
16 + 4x + 3x = 180

Combine like terms: 4x + 3x = 7x
16 + 7x = 180

Solving
16 + 7x = 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 + 7x = 180 + -16

Combine like terms: 16 + -16 = 0
0 + 7x = 180 + -16
7x = 180 + -16

Combine like terms: 180 + -16 = 164
7x = 164

Divide each side by '7'.
x = 23.42857143

Simplifying
x = 23.42857143

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