(2X+27)+(2X-11)=100

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Solution for (2X+27)+(2X-11)=100 equation:


Simplifying
(2X + 27) + (2X + -11) = 100

Reorder the terms:
(27 + 2X) + (2X + -11) = 100

Remove parenthesis around (27 + 2X)
27 + 2X + (2X + -11) = 100

Reorder the terms:
27 + 2X + (-11 + 2X) = 100

Remove parenthesis around (-11 + 2X)
27 + 2X + -11 + 2X = 100

Reorder the terms:
27 + -11 + 2X + 2X = 100

Combine like terms: 27 + -11 = 16
16 + 2X + 2X = 100

Combine like terms: 2X + 2X = 4X
16 + 4X = 100

Solving
16 + 4X = 100

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 = 100 + -16

Combine like terms: 16 + -16 = 0
0 + 4X = 100 + -16
4X = 100 + -16

Combine like terms: 100 + -16 = 84
4X = 84

Divide each side by '4'.
X = 21

Simplifying
X = 21

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