2n-10=5n-20

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Solution for 2n-10=5n-20 equation:


Simplifying
2n + -10 = 5n + -20

Reorder the terms:
-10 + 2n = 5n + -20

Reorder the terms:
-10 + 2n = -20 + 5n

Solving
-10 + 2n = -20 + 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.
-10 + 2n + -5n = -20 + 5n + -5n

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

Combine like terms: 5n + -5n = 0
-10 + -3n = -20 + 0
-10 + -3n = -20

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

Combine like terms: -10 + 10 = 0
0 + -3n = -20 + 10
-3n = -20 + 10

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

Divide each side by '-3'.
n = 3.333333333

Simplifying
n = 3.333333333

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