-2n+5=3n-10

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


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

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

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

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

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

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

Combine like terms: -10 + -5 = -15
-5n = -15

Divide each side by '-5'.
n = 3

Simplifying
n = 3

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