8*n+2=5*n-3

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Solution for 8*n+2=5*n-3 equation: 


Simplifying
8n + 2 = 5n + -3

Reorder the terms:
2 + 8n = 5n + -3

Reorder the terms:
2 + 8n = -3 + 5n

Solving
2 + 8n = -3 + 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.
2 + 8n + -5n = -3 + 5n + -5n

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

Combine like terms: 5n + -5n = 0
2 + 3n = -3 + 0
2 + 3n = -3

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

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

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

Divide each side by '3'.
n = -1.666666667

Simplifying
n = -1.666666667

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