3n+20=5n-10

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Solution for 3n+20=5n-10 equation:


Simplifying
3n + 20 = 5n + -10

Reorder the terms:
20 + 3n = 5n + -10

Reorder the terms:
20 + 3n = -10 + 5n

Solving
20 + 3n = -10 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
20 + 3n + -5n = -10 + 5n + -5n

Combine like terms: 3n + -5n = -2n
20 + -2n = -10 + 5n + -5n

Combine like terms: 5n + -5n = 0
20 + -2n = -10 + 0
20 + -2n = -10

Add '-20' to each side of the equation.
20 + -20 + -2n = -10 + -20

Combine like terms: 20 + -20 = 0
0 + -2n = -10 + -20
-2n = -10 + -20

Combine like terms: -10 + -20 = -30
-2n = -30

Divide each side by '-2'.
n = 15

Simplifying
n = 15

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