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

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

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

Reorder the terms:
2(5 + 3n) + -3(1 + n) = 5
(5 * 2 + 3n * 2) + -3(1 + n) = 5
(10 + 6n) + -3(1 + n) = 5
10 + 6n + (1 * -3 + n * -3) = 5
10 + 6n + (-3 + -3n) = 5

Reorder the terms:
10 + -3 + 6n + -3n = 5

Combine like terms: 10 + -3 = 7
7 + 6n + -3n = 5

Combine like terms: 6n + -3n = 3n
7 + 3n = 5

Solving
7 + 3n = 5

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 + 3n = 5 + -7

Combine like terms: 7 + -7 = 0
0 + 3n = 5 + -7
3n = 5 + -7

Combine like terms: 5 + -7 = -2
3n = -2

Divide each side by '3'.
n = -0.6666666667

Simplifying
n = -0.6666666667