5n-10=3n-9

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Solution for 5n-10=3n-9 equation:


Simplifying
5n + -10 = 3n + -9

Reorder the terms:
-10 + 5n = 3n + -9

Reorder the terms:
-10 + 5n = -9 + 3n

Solving
-10 + 5n = -9 + 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.
-10 + 5n + -3n = -9 + 3n + -3n

Combine like terms: 5n + -3n = 2n
-10 + 2n = -9 + 3n + -3n

Combine like terms: 3n + -3n = 0
-10 + 2n = -9 + 0
-10 + 2n = -9

Add '10' to each side of the equation.
-10 + 10 + 2n = -9 + 10

Combine like terms: -10 + 10 = 0
0 + 2n = -9 + 10
2n = -9 + 10

Combine like terms: -9 + 10 = 1
2n = 1

Divide each side by '2'.
n = 0.5

Simplifying
n = 0.5

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