x+(x+5)+(x+12)=31

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Solution for x+(x+5)+(x+12)=31 equation:


Simplifying
x + (x + 5) + (x + 12) = 31

Reorder the terms:
x + (5 + x) + (x + 12) = 31

Remove parenthesis around (5 + x)
x + 5 + x + (x + 12) = 31

Reorder the terms:
x + 5 + x + (12 + x) = 31

Remove parenthesis around (12 + x)
x + 5 + x + 12 + x = 31

Reorder the terms:
5 + 12 + x + x + x = 31

Combine like terms: 5 + 12 = 17
17 + x + x + x = 31

Combine like terms: x + x = 2x
17 + 2x + x = 31

Combine like terms: 2x + x = 3x
17 + 3x = 31

Solving
17 + 3x = 31

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + 3x = 31 + -17

Combine like terms: 17 + -17 = 0
0 + 3x = 31 + -17
3x = 31 + -17

Combine like terms: 31 + -17 = 14
3x = 14

Divide each side by '3'.
x = 4.666666667

Simplifying
x = 4.666666667

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