2(2n-5)=n+10

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Solution for 2(2n-5)=n+10 equation: 


Simplifying
2(2n + -5) = n + 10

Reorder the terms:
2(-5 + 2n) = n + 10
(-5 * 2 + 2n * 2) = n + 10
(-10 + 4n) = n + 10

Reorder the terms:
-10 + 4n = 10 + n

Solving
-10 + 4n = 10 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
-10 + 4n + -1n = 10 + n + -1n

Combine like terms: 4n + -1n = 3n
-10 + 3n = 10 + n + -1n

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

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

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

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

Divide each side by '3'.
n = 6.666666667

Simplifying
n = 6.666666667

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