5(3-2n)=6n-17

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Solution for 5(3-2n)=6n-17 equation:


Simplifying
5(3 + -2n) = 6n + -17
(3 * 5 + -2n * 5) = 6n + -17
(15 + -10n) = 6n + -17

Reorder the terms:
15 + -10n = -17 + 6n

Solving
15 + -10n = -17 + 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.
15 + -10n + -6n = -17 + 6n + -6n

Combine like terms: -10n + -6n = -16n
15 + -16n = -17 + 6n + -6n

Combine like terms: 6n + -6n = 0
15 + -16n = -17 + 0
15 + -16n = -17

Add '-15' to each side of the equation.
15 + -15 + -16n = -17 + -15

Combine like terms: 15 + -15 = 0
0 + -16n = -17 + -15
-16n = -17 + -15

Combine like terms: -17 + -15 = -32
-16n = -32

Divide each side by '-16'.
n = 2

Simplifying
n = 2

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