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

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


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

Reorder the terms:
2(2 + 2n) = 3(n + 5)
(2 * 2 + 2n * 2) = 3(n + 5)
(4 + 4n) = 3(n + 5)

Reorder the terms:
4 + 4n = 3(5 + n)
4 + 4n = (5 * 3 + n * 3)
4 + 4n = (15 + 3n)

Solving
4 + 4n = 15 + 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.
4 + 4n + -3n = 15 + 3n + -3n

Combine like terms: 4n + -3n = 1n
4 + 1n = 15 + 3n + -3n

Combine like terms: 3n + -3n = 0
4 + 1n = 15 + 0
4 + 1n = 15

Add '-4' to each side of the equation.
4 + -4 + 1n = 15 + -4

Combine like terms: 4 + -4 = 0
0 + 1n = 15 + -4
1n = 15 + -4

Combine like terms: 15 + -4 = 11
1n = 11

Divide each side by '1'.
n = 11

Simplifying
n = 11

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