2(k+1)=3k+6

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

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

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

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

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

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

Combine like terms: 3k + -3k = 0
2 + -1k = 6 + 0
2 + -1k = 6

Add '-2' to each side of the equation.
2 + -2 + -1k = 6 + -2

Combine like terms: 2 + -2 = 0
0 + -1k = 6 + -2
-1k = 6 + -2

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

Divide each side by '-1'.
k = -4

Simplifying
k = -4