6(n+5)-(5+3n)=2n

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Solution for 6(n+5)-(5+3n)=2n equation:


Simplifying
6(n + 5) + -1(5 + 3n) = 2n

Reorder the terms:
6(5 + n) + -1(5 + 3n) = 2n
(5 * 6 + n * 6) + -1(5 + 3n) = 2n
(30 + 6n) + -1(5 + 3n) = 2n
30 + 6n + (5 * -1 + 3n * -1) = 2n
30 + 6n + (-5 + -3n) = 2n

Reorder the terms:
30 + -5 + 6n + -3n = 2n

Combine like terms: 30 + -5 = 25
25 + 6n + -3n = 2n

Combine like terms: 6n + -3n = 3n
25 + 3n = 2n

Solving
25 + 3n = 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
25 + 3n + -2n = 2n + -2n

Combine like terms: 3n + -2n = 1n
25 + 1n = 2n + -2n

Combine like terms: 2n + -2n = 0
25 + 1n = 0

Add '-25' to each side of the equation.
25 + -25 + 1n = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 1n = 0 + -25
1n = 0 + -25

Combine like terms: 0 + -25 = -25
1n = -25

Divide each side by '1'.
n = -25

Simplifying
n = -25

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