5(2n+2)=7(3n+2)+8

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Solution for 5(2n+2)=7(3n+2)+8 equation: 


Simplifying
5(2n + 2) = 7(3n + 2) + 8

Reorder the terms:
5(2 + 2n) = 7(3n + 2) + 8
(2 * 5 + 2n * 5) = 7(3n + 2) + 8
(10 + 10n) = 7(3n + 2) + 8

Reorder the terms:
10 + 10n = 7(2 + 3n) + 8
10 + 10n = (2 * 7 + 3n * 7) + 8
10 + 10n = (14 + 21n) + 8

Reorder the terms:
10 + 10n = 14 + 8 + 21n

Combine like terms: 14 + 8 = 22
10 + 10n = 22 + 21n

Solving
10 + 10n = 22 + 21n

Solving for variable 'n'.

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

Add '-21n' to each side of the equation.
10 + 10n + -21n = 22 + 21n + -21n

Combine like terms: 10n + -21n = -11n
10 + -11n = 22 + 21n + -21n

Combine like terms: 21n + -21n = 0
10 + -11n = 22 + 0
10 + -11n = 22

Add '-10' to each side of the equation.
10 + -10 + -11n = 22 + -10

Combine like terms: 10 + -10 = 0
0 + -11n = 22 + -10
-11n = 22 + -10

Combine like terms: 22 + -10 = 12
-11n = 12

Divide each side by '-11'.
n = -1.090909091

Simplifying
n = -1.090909091

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