5(2n+8)=6n+12

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Solution for 5(2n+8)=6n+12 equation:


Simplifying
5(2n + 8) = 6n + 12

Reorder the terms:
5(8 + 2n) = 6n + 12
(8 * 5 + 2n * 5) = 6n + 12
(40 + 10n) = 6n + 12

Reorder the terms:
40 + 10n = 12 + 6n

Solving
40 + 10n = 12 + 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.
40 + 10n + -6n = 12 + 6n + -6n

Combine like terms: 10n + -6n = 4n
40 + 4n = 12 + 6n + -6n

Combine like terms: 6n + -6n = 0
40 + 4n = 12 + 0
40 + 4n = 12

Add '-40' to each side of the equation.
40 + -40 + 4n = 12 + -40

Combine like terms: 40 + -40 = 0
0 + 4n = 12 + -40
4n = 12 + -40

Combine like terms: 12 + -40 = -28
4n = -28

Divide each side by '4'.
n = -7

Simplifying
n = -7

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