2k+3(k+2)=11

Solution for 2k+3(k+2)=11 equation:

Simplifying
2k + 3(k + 2) = 11

Reorder the terms:
2k + 3(2 + k) = 11
2k + (2 * 3 + k * 3) = 11
2k + (6 + 3k) = 11

Reorder the terms:
6 + 2k + 3k = 11

Combine like terms: 2k + 3k = 5k
6 + 5k = 11

Solving
6 + 5k = 11

Solving for variable 'k'.

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

Add '-6' to each side of the equation.
6 + -6 + 5k = 11 + -6

Combine like terms: 6 + -6 = 0
0 + 5k = 11 + -6
5k = 11 + -6

Combine like terms: 11 + -6 = 5
5k = 5

Divide each side by '5'.
k = 1

Simplifying
k = 1