2n-5=8n+7

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Solution for 2n-5=8n+7 equation:


Simplifying
2n + -5 = 8n + 7

Reorder the terms:
-5 + 2n = 8n + 7

Reorder the terms:
-5 + 2n = 7 + 8n

Solving
-5 + 2n = 7 + 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 = 7 + 8n + -8n

Combine like terms: 2n + -8n = -6n
-5 + -6n = 7 + 8n + -8n

Combine like terms: 8n + -8n = 0
-5 + -6n = 7 + 0
-5 + -6n = 7

Add '5' to each side of the equation.
-5 + 5 + -6n = 7 + 5

Combine like terms: -5 + 5 = 0
0 + -6n = 7 + 5
-6n = 7 + 5

Combine like terms: 7 + 5 = 12
-6n = 12

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

Simplifying
n = -2

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