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

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


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

Combine like terms: 2n + n = 3n
5(3n) = 3(n + 6)

Remove parenthesis around (3n)
5 * 3n = 3(n + 6)

Multiply 5 * 3
15n = 3(n + 6)

Reorder the terms:
15n = 3(6 + n)
15n = (6 * 3 + n * 3)
15n = (18 + 3n)

Solving
15n = 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.
15n + -3n = 18 + 3n + -3n

Combine like terms: 15n + -3n = 12n
12n = 18 + 3n + -3n

Combine like terms: 3n + -3n = 0
12n = 18 + 0
12n = 18

Divide each side by '12'.
n = 1.5

Simplifying
n = 1.5

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