8n-(3n+5)=2n+12

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Solution for 8n-(3n+5)=2n+12 equation:


Simplifying
8n + -1(3n + 5) = 2n + 12

Reorder the terms:
8n + -1(5 + 3n) = 2n + 12
8n + (5 * -1 + 3n * -1) = 2n + 12
8n + (-5 + -3n) = 2n + 12

Reorder the terms:
-5 + 8n + -3n = 2n + 12

Combine like terms: 8n + -3n = 5n
-5 + 5n = 2n + 12

Reorder the terms:
-5 + 5n = 12 + 2n

Solving
-5 + 5n = 12 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-5 + 5n + -2n = 12 + 2n + -2n

Combine like terms: 5n + -2n = 3n
-5 + 3n = 12 + 2n + -2n

Combine like terms: 2n + -2n = 0
-5 + 3n = 12 + 0
-5 + 3n = 12

Add '5' to each side of the equation.
-5 + 5 + 3n = 12 + 5

Combine like terms: -5 + 5 = 0
0 + 3n = 12 + 5
3n = 12 + 5

Combine like terms: 12 + 5 = 17
3n = 17

Divide each side by '3'.
n = 5.666666667

Simplifying
n = 5.666666667

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