3(k+1)+2k=13

Solution for 3(k+1)+2k=13 equation:

Simplifying
3(k + 1) + 2k = 13

Reorder the terms:
3(1 + k) + 2k = 13
(1 * 3 + k * 3) + 2k = 13
(3 + 3k) + 2k = 13

Combine like terms: 3k + 2k = 5k
3 + 5k = 13

Solving
3 + 5k = 13

Solving for variable 'k'.

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

Add '-3' to each side of the equation.
3 + -3 + 5k = 13 + -3

Combine like terms: 3 + -3 = 0
0 + 5k = 13 + -3
5k = 13 + -3

Combine like terms: 13 + -3 = 10
5k = 10

Divide each side by '5'.
k = 2

Simplifying
k = 2