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

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

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

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

Combine like terms: 2k + -1k = 1k
2 + 1k = 3(k + 2)

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

Solving
2 + 1k = 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 + 1k + -3k = 6 + 3k + -3k

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

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

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

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

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

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

Simplifying
k = -2