(x+5)+(x+6)+(x+7)=n

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Solution for (x+5)+(x+6)+(x+7)=n equation:


Simplifying
(x + 5) + (x + 6) + (x + 7) = n

Reorder the terms:
(5 + x) + (x + 6) + (x + 7) = n

Remove parenthesis around (5 + x)
5 + x + (x + 6) + (x + 7) = n

Reorder the terms:
5 + x + (6 + x) + (x + 7) = n

Remove parenthesis around (6 + x)
5 + x + 6 + x + (x + 7) = n

Reorder the terms:
5 + x + 6 + x + (7 + x) = n

Remove parenthesis around (7 + x)
5 + x + 6 + x + 7 + x = n

Reorder the terms:
5 + 6 + 7 + x + x + x = n

Combine like terms: 5 + 6 = 11
11 + 7 + x + x + x = n

Combine like terms: 11 + 7 = 18
18 + x + x + x = n

Combine like terms: x + x = 2x
18 + 2x + x = n

Combine like terms: 2x + x = 3x
18 + 3x = n

Solving
18 + 3x = n

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 3x = -18 + n

Combine like terms: 18 + -18 = 0
0 + 3x = -18 + n
3x = -18 + n

Divide each side by '3'.
x = -6 + 0.3333333333n

Simplifying
x = -6 + 0.3333333333n

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