3+2[k+1]=6+3k

Solution for 3+2[k+1]=6+3k equation:

Simplifying
3 + 2[k + 1] = 6 + 3k

Reorder the terms:
3 + 2[1 + k] = 6 + 3k
3 + [1 * 2 + k * 2] = 6 + 3k
3 + [2 + 2k] = 6 + 3k

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

Solving
5 + 2k = 6 + 3k

Solving for variable 'k'.

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

Add '-3k' to each side of the equation.
5 + 2k + -3k = 6 + 3k + -3k

Combine like terms: 2k + -3k = -1k
5 + -1k = 6 + 3k + -3k

Combine like terms: 3k + -3k = 0
5 + -1k = 6 + 0
5 + -1k = 6

Add '-5' to each side of the equation.
5 + -5 + -1k = 6 + -5

Combine like terms: 5 + -5 = 0
0 + -1k = 6 + -5
-1k = 6 + -5

Combine like terms: 6 + -5 = 1
-1k = 1

Divide each side by '-1'.
k = -1

Simplifying
k = -1