(X+5)+(2x+6)+(2x+9)=180

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Solution for (X+5)+(2x+6)+(2x+9)=180 equation:


Simplifying
(X + 5) + (2x + 6) + (2x + 9) = 180

Reorder the terms:
(5 + X) + (2x + 6) + (2x + 9) = 180

Remove parenthesis around (5 + X)
5 + X + (2x + 6) + (2x + 9) = 180

Reorder the terms:
5 + X + (6 + 2x) + (2x + 9) = 180

Remove parenthesis around (6 + 2x)
5 + X + 6 + 2x + (2x + 9) = 180

Reorder the terms:
5 + X + 6 + 2x + (9 + 2x) = 180

Remove parenthesis around (9 + 2x)
5 + X + 6 + 2x + 9 + 2x = 180

Reorder the terms:
5 + 6 + 9 + X + 2x + 2x = 180

Combine like terms: 5 + 6 = 11
11 + 9 + X + 2x + 2x = 180

Combine like terms: 11 + 9 = 20
20 + X + 2x + 2x = 180

Combine like terms: 2x + 2x = 4x
20 + X + 4x = 180

Solving
20 + X + 4x = 180

Solving for variable 'X'.

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

Add '-20' to each side of the equation.
20 + X + -20 + 4x = 180 + -20

Reorder the terms:
20 + -20 + X + 4x = 180 + -20

Combine like terms: 20 + -20 = 0
0 + X + 4x = 180 + -20
X + 4x = 180 + -20

Combine like terms: 180 + -20 = 160
X + 4x = 160

Add '-4x' to each side of the equation.
X + 4x + -4x = 160 + -4x

Combine like terms: 4x + -4x = 0
X + 0 = 160 + -4x
X = 160 + -4x

Simplifying
X = 160 + -4x

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