3(k-5)+2k-6=-31

Solution for 3(k-5)+2k-6=-31 equation:

Simplifying
3(k + -5) + 2k + -6 = -31

Reorder the terms:
3(-5 + k) + 2k + -6 = -31
(-5 * 3 + k * 3) + 2k + -6 = -31
(-15 + 3k) + 2k + -6 = -31

Reorder the terms:
-15 + -6 + 3k + 2k = -31

Combine like terms: -15 + -6 = -21
-21 + 3k + 2k = -31

Combine like terms: 3k + 2k = 5k
-21 + 5k = -31

Solving
-21 + 5k = -31

Solving for variable 'k'.

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

Add '21' to each side of the equation.
-21 + 21 + 5k = -31 + 21

Combine like terms: -21 + 21 = 0
0 + 5k = -31 + 21
5k = -31 + 21

Combine like terms: -31 + 21 = -10
5k = -10

Divide each side by '5'.
k = -2

Simplifying
k = -2