2(3n+1)=5(n-2)+15

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Solution for 2(3n+1)=5(n-2)+15 equation: 


Simplifying
2(3n + 1) = 5(n + -2) + 15

Reorder the terms:
2(1 + 3n) = 5(n + -2) + 15
(1 * 2 + 3n * 2) = 5(n + -2) + 15
(2 + 6n) = 5(n + -2) + 15

Reorder the terms:
2 + 6n = 5(-2 + n) + 15
2 + 6n = (-2 * 5 + n * 5) + 15
2 + 6n = (-10 + 5n) + 15

Reorder the terms:
2 + 6n = -10 + 15 + 5n

Combine like terms: -10 + 15 = 5
2 + 6n = 5 + 5n

Solving
2 + 6n = 5 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
2 + 6n + -5n = 5 + 5n + -5n

Combine like terms: 6n + -5n = 1n
2 + 1n = 5 + 5n + -5n

Combine like terms: 5n + -5n = 0
2 + 1n = 5 + 0
2 + 1n = 5

Add '-2' to each side of the equation.
2 + -2 + 1n = 5 + -2

Combine like terms: 2 + -2 = 0
0 + 1n = 5 + -2
1n = 5 + -2

Combine like terms: 5 + -2 = 3
1n = 3

Divide each side by '1'.
n = 3

Simplifying
n = 3

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