3(n+7)=2(n+9)-n

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Solution for 3(n+7)=2(n+9)-n equation:


Simplifying
3(n + 7) = 2(n + 9) + -1n

Reorder the terms:
3(7 + n) = 2(n + 9) + -1n
(7 * 3 + n * 3) = 2(n + 9) + -1n
(21 + 3n) = 2(n + 9) + -1n

Reorder the terms:
21 + 3n = 2(9 + n) + -1n
21 + 3n = (9 * 2 + n * 2) + -1n
21 + 3n = (18 + 2n) + -1n

Combine like terms: 2n + -1n = 1n
21 + 3n = 18 + 1n

Solving
21 + 3n = 18 + 1n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
21 + 3n + -1n = 18 + 1n + -1n

Combine like terms: 3n + -1n = 2n
21 + 2n = 18 + 1n + -1n

Combine like terms: 1n + -1n = 0
21 + 2n = 18 + 0
21 + 2n = 18

Add '-21' to each side of the equation.
21 + -21 + 2n = 18 + -21

Combine like terms: 21 + -21 = 0
0 + 2n = 18 + -21
2n = 18 + -21

Combine like terms: 18 + -21 = -3
2n = -3

Divide each side by '2'.
n = -1.5

Simplifying
n = -1.5

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