2(n+3)=-3n+10

Solution for 2(n+3)=-3n+10 equation:

Simplifying
2(n + 3) = -3n + 10

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

Reorder the terms:
6 + 2n = 10 + -3n

Solving
6 + 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.
6 + 2n + 3n = 10 + -3n + 3n

Combine like terms: 2n + 3n = 5n
6 + 5n = 10 + -3n + 3n

Combine like terms: -3n + 3n = 0
6 + 5n = 10 + 0
6 + 5n = 10

Add '-6' to each side of the equation.
6 + -6 + 5n = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 5n = 10 + -6
5n = 10 + -6

Combine like terms: 10 + -6 = 4
5n = 4

Divide each side by '5'.
n = 0.8

Simplifying
n = 0.8