2+2(k+1)=3k+6

Solution for 2+2(k+1)=3k+6 equation:

Simplifying
2 + 2(k + 1) = 3k + 6

Reorder the terms:
2 + 2(1 + k) = 3k + 6
2 + (1 * 2 + k * 2) = 3k + 6
2 + (2 + 2k) = 3k + 6

Combine like terms: 2 + 2 = 4
4 + 2k = 3k + 6

Reorder the terms:
4 + 2k = 6 + 3k

Solving
4 + 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.
4 + 2k + -3k = 6 + 3k + -3k

Combine like terms: 2k + -3k = -1k
4 + -1k = 6 + 3k + -3k

Combine like terms: 3k + -3k = 0
4 + -1k = 6 + 0
4 + -1k = 6

Add '-4' to each side of the equation.
4 + -4 + -1k = 6 + -4

Combine like terms: 4 + -4 = 0
0 + -1k = 6 + -4
-1k = 6 + -4

Combine like terms: 6 + -4 = 2
-1k = 2

Divide each side by '-1'.
k = -2

Simplifying
k = -2