3k-6+2k=12+8k-33

Solution for 3k-6+2k=12+8k-33 equation:

Simplifying
3k + -6 + 2k = 12 + 8k + -33

Reorder the terms:
-6 + 3k + 2k = 12 + 8k + -33

Combine like terms: 3k + 2k = 5k
-6 + 5k = 12 + 8k + -33

Reorder the terms:
-6 + 5k = 12 + -33 + 8k

Combine like terms: 12 + -33 = -21
-6 + 5k = -21 + 8k

Solving
-6 + 5k = -21 + 8k

Solving for variable 'k'.

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

Add '-8k' to each side of the equation.
-6 + 5k + -8k = -21 + 8k + -8k

Combine like terms: 5k + -8k = -3k
-6 + -3k = -21 + 8k + -8k

Combine like terms: 8k + -8k = 0
-6 + -3k = -21 + 0
-6 + -3k = -21

Add '6' to each side of the equation.
-6 + 6 + -3k = -21 + 6

Combine like terms: -6 + 6 = 0
0 + -3k = -21 + 6
-3k = -21 + 6

Combine like terms: -21 + 6 = -15
-3k = -15

Divide each side by '-3'.
k = 5

Simplifying
k = 5