10k-8K=-2(k+2)+6(k-7)

Solution for 10k-8K=-2(k+2)+6(k-7) equation:

10k-8k=-2(k+2)+6(k-7)

We simplify the equation to the form, which is simple to understand 
10k-8k=-2(k+2)+6(k-7)

Reorder the terms in parentheses
10k-8k=+(-2k-4)+6*(k-7)

Remove unnecessary parentheses
+10k-8k=-2k-4+6+*(+k-7+)

Reorder the terms in parentheses
10k-8k=-2k-4+(+6k-42)

Remove unnecessary parentheses
+10k-8k=-2k-4+6k-42

We move all terms containing k to the left and all other terms to the right. 
+10k-8k+2k-6k=-4-42

We simplify left and right side of the equation. 
-2k=-46

We divide both sides of the equation by -2 to get k. 
k=23