2(2n+1)-3(n-5)=0

Solution for 2(2n+1)-3(n-5)=0 equation:

Simplifying
2(2n + 1) + -3(n + -5) = 0

Reorder the terms:
2(1 + 2n) + -3(n + -5) = 0
(1 * 2 + 2n * 2) + -3(n + -5) = 0
(2 + 4n) + -3(n + -5) = 0

Reorder the terms:
2 + 4n + -3(-5 + n) = 0
2 + 4n + (-5 * -3 + n * -3) = 0
2 + 4n + (15 + -3n) = 0

Reorder the terms:
2 + 15 + 4n + -3n = 0

Combine like terms: 2 + 15 = 17
17 + 4n + -3n = 0

Combine like terms: 4n + -3n = 1n
17 + 1n = 0

Solving
17 + 1n = 0

Solving for variable 'n'.

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

Add '-17' to each side of the equation.
17 + -17 + 1n = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 1n = 0 + -17
1n = 0 + -17

Combine like terms: 0 + -17 = -17
1n = -17

Divide each side by '1'.
n = -17

Simplifying
n = -17