8+2n-3=5n+10-2n

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Solution for 8+2n-3=5n+10-2n equation:


Simplifying
8 + 2n + -3 = 5n + 10 + -2n

Reorder the terms:
8 + -3 + 2n = 5n + 10 + -2n

Combine like terms: 8 + -3 = 5
5 + 2n = 5n + 10 + -2n

Reorder the terms:
5 + 2n = 10 + 5n + -2n

Combine like terms: 5n + -2n = 3n
5 + 2n = 10 + 3n

Solving
5 + 2n = 10 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
5 + 2n + -3n = 10 + 3n + -3n

Combine like terms: 2n + -3n = -1n
5 + -1n = 10 + 3n + -3n

Combine like terms: 3n + -3n = 0
5 + -1n = 10 + 0
5 + -1n = 10

Add '-5' to each side of the equation.
5 + -5 + -1n = 10 + -5

Combine like terms: 5 + -5 = 0
0 + -1n = 10 + -5
-1n = 10 + -5

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

Divide each side by '-1'.
n = -5

Simplifying
n = -5

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