3n+5=6n-10

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


Simplifying
3n + 5 = 6n + -10

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

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

Solving
5 + 3n = -10 + 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.
5 + 3n + -6n = -10 + 6n + -6n

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

Combine like terms: 6n + -6n = 0
5 + -3n = -10 + 0
5 + -3n = -10

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

Combine like terms: 5 + -5 = 0
0 + -3n = -10 + -5
-3n = -10 + -5

Combine like terms: -10 + -5 = -15
-3n = -15

Divide each side by '-3'.
n = 5

Simplifying
n = 5

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