3n+1=2n-5

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Solution for 3n+1=2n-5 equation:


Simplifying
3n + 1 = 2n + -5

Reorder the terms:
1 + 3n = 2n + -5

Reorder the terms:
1 + 3n = -5 + 2n

Solving
1 + 3n = -5 + 2n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-2n' to each side of the equation.
1 + 3n + -2n = -5 + 2n + -2n

Combine like terms: 3n + -2n = 1n
1 + 1n = -5 + 2n + -2n

Combine like terms: 2n + -2n = 0
1 + 1n = -5 + 0
1 + 1n = -5

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

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

Combine like terms: -5 + -1 = -6
1n = -6

Divide each side by '1'.
n = -6

Simplifying
n = -6

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