5(2n-1)=6(n+5)+2

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Solution for 5(2n-1)=6(n+5)+2 equation:


Simplifying
5(2n + -1) = 6(n + 5) + 2

Reorder the terms:
5(-1 + 2n) = 6(n + 5) + 2
(-1 * 5 + 2n * 5) = 6(n + 5) + 2
(-5 + 10n) = 6(n + 5) + 2

Reorder the terms:
-5 + 10n = 6(5 + n) + 2
-5 + 10n = (5 * 6 + n * 6) + 2
-5 + 10n = (30 + 6n) + 2

Reorder the terms:
-5 + 10n = 30 + 2 + 6n

Combine like terms: 30 + 2 = 32
-5 + 10n = 32 + 6n

Solving
-5 + 10n = 32 + 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.
-5 + 10n + -6n = 32 + 6n + -6n

Combine like terms: 10n + -6n = 4n
-5 + 4n = 32 + 6n + -6n

Combine like terms: 6n + -6n = 0
-5 + 4n = 32 + 0
-5 + 4n = 32

Add '5' to each side of the equation.
-5 + 5 + 4n = 32 + 5

Combine like terms: -5 + 5 = 0
0 + 4n = 32 + 5
4n = 32 + 5

Combine like terms: 32 + 5 = 37
4n = 37

Divide each side by '4'.
n = 9.25

Simplifying
n = 9.25

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