5n+2=8n-17

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


Simplifying
5n + 2 = 8n + -17

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

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

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

Combine like terms: 5n + -8n = -3n
2 + -3n = -17 + 8n + -8n

Combine like terms: 8n + -8n = 0
2 + -3n = -17 + 0
2 + -3n = -17

Add '-2' to each side of the equation.
2 + -2 + -3n = -17 + -2

Combine like terms: 2 + -2 = 0
0 + -3n = -17 + -2
-3n = -17 + -2

Combine like terms: -17 + -2 = -19
-3n = -19

Divide each side by '-3'.
n = 6.333333333

Simplifying
n = 6.333333333

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