3n+6=5n-10

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Solution for 3n+6=5n-10 equation:


Simplifying
3n + 6 = 5n + -10

Reorder the terms:
6 + 3n = 5n + -10

Reorder the terms:
6 + 3n = -10 + 5n

Solving
6 + 3n = -10 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
6 + 3n + -5n = -10 + 5n + -5n

Combine like terms: 3n + -5n = -2n
6 + -2n = -10 + 5n + -5n

Combine like terms: 5n + -5n = 0
6 + -2n = -10 + 0
6 + -2n = -10

Add '-6' to each side of the equation.
6 + -6 + -2n = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -2n = -10 + -6
-2n = -10 + -6

Combine like terms: -10 + -6 = -16
-2n = -16

Divide each side by '-2'.
n = 8

Simplifying
n = 8

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