2(5n+3)-n=3(3n+2)

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Solution for 2(5n+3)-n=3(3n+2) equation:


Simplifying
2(5n + 3) + -1n = 3(3n + 2)

Reorder the terms:
2(3 + 5n) + -1n = 3(3n + 2)
(3 * 2 + 5n * 2) + -1n = 3(3n + 2)
(6 + 10n) + -1n = 3(3n + 2)

Combine like terms: 10n + -1n = 9n
6 + 9n = 3(3n + 2)

Reorder the terms:
6 + 9n = 3(2 + 3n)
6 + 9n = (2 * 3 + 3n * 3)
6 + 9n = (6 + 9n)

Add '-6' to each side of the equation.
6 + -6 + 9n = 6 + -6 + 9n

Combine like terms: 6 + -6 = 0
0 + 9n = 6 + -6 + 9n
9n = 6 + -6 + 9n

Combine like terms: 6 + -6 = 0
9n = 0 + 9n
9n = 9n

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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