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

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Solution for 5(n+3)=3(2n)-1 equation: 


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

Reorder the terms:
5(3 + n) = 3(2n) + -1
(3 * 5 + n * 5) = 3(2n) + -1
(15 + 5n) = 3(2n) + -1

Remove parenthesis around (2n)
15 + 5n = 3 * 2n + -1

Multiply 3 * 2
15 + 5n = 6n + -1

Reorder the terms:
15 + 5n = -1 + 6n

Solving
15 + 5n = -1 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
15 + 5n + -6n = -1 + 6n + -6n

Combine like terms: 5n + -6n = -1n
15 + -1n = -1 + 6n + -6n

Combine like terms: 6n + -6n = 0
15 + -1n = -1 + 0
15 + -1n = -1

Add '-15' to each side of the equation.
15 + -15 + -1n = -1 + -15

Combine like terms: 15 + -15 = 0
0 + -1n = -1 + -15
-1n = -1 + -15

Combine like terms: -1 + -15 = -16
-1n = -16

Divide each side by '-1'.
n = 16

Simplifying
n = 16

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