5(1+2n)=17+12n

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Solution for 5(1+2n)=17+12n equation:


Simplifying
5(1 + 2n) = 17 + 12n
(1 * 5 + 2n * 5) = 17 + 12n
(5 + 10n) = 17 + 12n

Solving
5 + 10n = 17 + 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
5 + 10n + -12n = 17 + 12n + -12n

Combine like terms: 10n + -12n = -2n
5 + -2n = 17 + 12n + -12n

Combine like terms: 12n + -12n = 0
5 + -2n = 17 + 0
5 + -2n = 17

Add '-5' to each side of the equation.
5 + -5 + -2n = 17 + -5

Combine like terms: 5 + -5 = 0
0 + -2n = 17 + -5
-2n = 17 + -5

Combine like terms: 17 + -5 = 12
-2n = 12

Divide each side by '-2'.
n = -6

Simplifying
n = -6

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