5n-2=8n+10

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


Simplifying
5n + -2 = 8n + 10

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

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

Solving
-2 + 5n = 10 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
-2 + 5n + -8n = 10 + 8n + -8n

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

Combine like terms: 8n + -8n = 0
-2 + -3n = 10 + 0
-2 + -3n = 10

Add '2' to each side of the equation.
-2 + 2 + -3n = 10 + 2

Combine like terms: -2 + 2 = 0
0 + -3n = 10 + 2
-3n = 10 + 2

Combine like terms: 10 + 2 = 12
-3n = 12

Divide each side by '-3'.
n = -4

Simplifying
n = -4

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