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

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


Simplifying
5(2 + n) = 3(n + 6)
(2 * 5 + n * 5) = 3(n + 6)
(10 + 5n) = 3(n + 6)

Reorder the terms:
10 + 5n = 3(6 + n)
10 + 5n = (6 * 3 + n * 3)
10 + 5n = (18 + 3n)

Solving
10 + 5n = 18 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
10 + 5n + -3n = 18 + 3n + -3n

Combine like terms: 5n + -3n = 2n
10 + 2n = 18 + 3n + -3n

Combine like terms: 3n + -3n = 0
10 + 2n = 18 + 0
10 + 2n = 18

Add '-10' to each side of the equation.
10 + -10 + 2n = 18 + -10

Combine like terms: 10 + -10 = 0
0 + 2n = 18 + -10
2n = 18 + -10

Combine like terms: 18 + -10 = 8
2n = 8

Divide each side by '2'.
n = 4

Simplifying
n = 4

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