6n-5=3(n+2)

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


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

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

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

Solving
-5 + 6n = 6 + 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.
-5 + 6n + -3n = 6 + 3n + -3n

Combine like terms: 6n + -3n = 3n
-5 + 3n = 6 + 3n + -3n

Combine like terms: 3n + -3n = 0
-5 + 3n = 6 + 0
-5 + 3n = 6

Add '5' to each side of the equation.
-5 + 5 + 3n = 6 + 5

Combine like terms: -5 + 5 = 0
0 + 3n = 6 + 5
3n = 6 + 5

Combine like terms: 6 + 5 = 11
3n = 11

Divide each side by '3'.
n = 3.666666667

Simplifying
n = 3.666666667

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