X+(x+5)+(x+5+6)=31

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Solution for X+(x+5)+(x+5+6)=31 equation:


Simplifying
X + (x + 5) + (x + 5 + 6) = 31

Reorder the terms:
X + (5 + x) + (x + 5 + 6) = 31

Remove parenthesis around (5 + x)
X + 5 + x + (x + 5 + 6) = 31

Reorder the terms:
X + 5 + x + (5 + 6 + x) = 31

Combine like terms: 5 + 6 = 11
X + 5 + x + (11 + x) = 31

Remove parenthesis around (11 + x)
X + 5 + x + 11 + x = 31

Reorder the terms:
5 + 11 + X + x + x = 31

Combine like terms: 5 + 11 = 16
16 + X + x + x = 31

Combine like terms: x + x = 2x
16 + X + 2x = 31

Solving
16 + X + 2x = 31

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 + X + -16 + 2x = 31 + -16

Reorder the terms:
16 + -16 + X + 2x = 31 + -16

Combine like terms: 16 + -16 = 0
0 + X + 2x = 31 + -16
X + 2x = 31 + -16

Combine like terms: 31 + -16 = 15
X + 2x = 15

Add '-2x' to each side of the equation.
X + 2x + -2x = 15 + -2x

Combine like terms: 2x + -2x = 0
X + 0 = 15 + -2x
X = 15 + -2x

Simplifying
X = 15 + -2x

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