3n+1=8n-9

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Solution for 3n+1=8n-9 equation:


Simplifying
3n + 1 = 8n + -9

Reorder the terms:
1 + 3n = 8n + -9

Reorder the terms:
1 + 3n = -9 + 8n

Solving
1 + 3n = -9 + 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.
1 + 3n + -8n = -9 + 8n + -8n

Combine like terms: 3n + -8n = -5n
1 + -5n = -9 + 8n + -8n

Combine like terms: 8n + -8n = 0
1 + -5n = -9 + 0
1 + -5n = -9

Add '-1' to each side of the equation.
1 + -1 + -5n = -9 + -1

Combine like terms: 1 + -1 = 0
0 + -5n = -9 + -1
-5n = -9 + -1

Combine like terms: -9 + -1 = -10
-5n = -10

Divide each side by '-5'.
n = 2

Simplifying
n = 2

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