8k-6=3(k-12)

Solution for 8k-6=3(k-12) equation:

Simplifying
8k + -6 = 3(k + -12)

Reorder the terms:
-6 + 8k = 3(k + -12)

Reorder the terms:
-6 + 8k = 3(-12 + k)
-6 + 8k = (-12 * 3 + k * 3)
-6 + 8k = (-36 + 3k)

Solving
-6 + 8k = -36 + 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.
-6 + 8k + -3k = -36 + 3k + -3k

Combine like terms: 8k + -3k = 5k
-6 + 5k = -36 + 3k + -3k

Combine like terms: 3k + -3k = 0
-6 + 5k = -36 + 0
-6 + 5k = -36

Add '6' to each side of the equation.
-6 + 6 + 5k = -36 + 6

Combine like terms: -6 + 6 = 0
0 + 5k = -36 + 6
5k = -36 + 6

Combine like terms: -36 + 6 = -30
5k = -30

Divide each side by '5'.
k = -6

Simplifying
k = -6