23-(2n+3)=2(n+5)+n

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Solution for 23-(2n+3)=2(n+5)+n equation: 


Simplifying
23 + -1(2n + 3) = 2(n + 5) + n

Reorder the terms:
23 + -1(3 + 2n) = 2(n + 5) + n
23 + (3 * -1 + 2n * -1) = 2(n + 5) + n
23 + (-3 + -2n) = 2(n + 5) + n

Combine like terms: 23 + -3 = 20
20 + -2n = 2(n + 5) + n

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

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

Solving
20 + -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.
20 + -2n + -3n = 10 + 3n + -3n

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

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

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

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

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

Divide each side by '-5'.
n = 2

Simplifying
n = 2

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