2n-5=8n-17

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Solution for 2n-5=8n-17 equation:


Simplifying
2n + -5 = 8n + -17

Reorder the terms:
-5 + 2n = 8n + -17

Reorder the terms:
-5 + 2n = -17 + 8n

Solving
-5 + 2n = -17 + 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.
-5 + 2n + -8n = -17 + 8n + -8n

Combine like terms: 2n + -8n = -6n
-5 + -6n = -17 + 8n + -8n

Combine like terms: 8n + -8n = 0
-5 + -6n = -17 + 0
-5 + -6n = -17

Add '5' to each side of the equation.
-5 + 5 + -6n = -17 + 5

Combine like terms: -5 + 5 = 0
0 + -6n = -17 + 5
-6n = -17 + 5

Combine like terms: -17 + 5 = -12
-6n = -12

Divide each side by '-6'.
n = 2

Simplifying
n = 2

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