2n-8=5n+10

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Solution for 2n-8=5n+10 equation:


Simplifying
2n + -8 = 5n + 10

Reorder the terms:
-8 + 2n = 5n + 10

Reorder the terms:
-8 + 2n = 10 + 5n

Solving
-8 + 2n = 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.
-8 + 2n + -5n = 10 + 5n + -5n

Combine like terms: 2n + -5n = -3n
-8 + -3n = 10 + 5n + -5n

Combine like terms: 5n + -5n = 0
-8 + -3n = 10 + 0
-8 + -3n = 10

Add '8' to each side of the equation.
-8 + 8 + -3n = 10 + 8

Combine like terms: -8 + 8 = 0
0 + -3n = 10 + 8
-3n = 10 + 8

Combine like terms: 10 + 8 = 18
-3n = 18

Divide each side by '-3'.
n = -6

Simplifying
n = -6

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