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

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


Simplifying
3n + -5 = 2(6 + 5n)

Reorder the terms:
-5 + 3n = 2(6 + 5n)
-5 + 3n = (6 * 2 + 5n * 2)
-5 + 3n = (12 + 10n)

Solving
-5 + 3n = 12 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
-5 + 3n + -10n = 12 + 10n + -10n

Combine like terms: 3n + -10n = -7n
-5 + -7n = 12 + 10n + -10n

Combine like terms: 10n + -10n = 0
-5 + -7n = 12 + 0
-5 + -7n = 12

Add '5' to each side of the equation.
-5 + 5 + -7n = 12 + 5

Combine like terms: -5 + 5 = 0
0 + -7n = 12 + 5
-7n = 12 + 5

Combine like terms: 12 + 5 = 17
-7n = 17

Divide each side by '-7'.
n = -2.428571429

Simplifying
n = -2.428571429

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