3[n+1]=10+2n

Solution for 3[n+1]=10+2n equation:

Simplifying
3[n + 1] = 10 + 2n

Reorder the terms:
3[1 + n] = 10 + 2n
[1 * 3 + n * 3] = 10 + 2n
[3 + 3n] = 10 + 2n

Solving
3 + 3n = 10 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
3 + 3n + -2n = 10 + 2n + -2n

Combine like terms: 3n + -2n = 1n
3 + 1n = 10 + 2n + -2n

Combine like terms: 2n + -2n = 0
3 + 1n = 10 + 0
3 + 1n = 10

Add '-3' to each side of the equation.
3 + -3 + 1n = 10 + -3

Combine like terms: 3 + -3 = 0
0 + 1n = 10 + -3
1n = 10 + -3

Combine like terms: 10 + -3 = 7
1n = 7

Divide each side by '1'.
n = 7

Simplifying
n = 7