(2n+5)-(n-2)=20

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Solution for (2n+5)-(n-2)=20 equation:


Simplifying
(2n + 5) + -1(n + -2) = 20

Reorder the terms:
(5 + 2n) + -1(n + -2) = 20

Remove parenthesis around (5 + 2n)
5 + 2n + -1(n + -2) = 20

Reorder the terms:
5 + 2n + -1(-2 + n) = 20
5 + 2n + (-2 * -1 + n * -1) = 20
5 + 2n + (2 + -1n) = 20

Reorder the terms:
5 + 2 + 2n + -1n = 20

Combine like terms: 5 + 2 = 7
7 + 2n + -1n = 20

Combine like terms: 2n + -1n = 1n
7 + 1n = 20

Solving
7 + 1n = 20

Solving for variable 'n'.

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

Add '-7' to each side of the equation.
7 + -7 + 1n = 20 + -7

Combine like terms: 7 + -7 = 0
0 + 1n = 20 + -7
1n = 20 + -7

Combine like terms: 20 + -7 = 13
1n = 13

Divide each side by '1'.
n = 13

Simplifying
n = 13

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