-8 (c - 10) = - (c-3)

1 Remove parentheses.

-8(c-10)=−c+3

2 Regroup terms.

-8(c-10)=3−c

3 Expand.

-8c+80=3−c

4 Add 8c8c to both sides.

80=3−c+8c

5 Simplify 3-c+8c to 3+7c

80=33+7c

6 Subtract 33 from both sides.

80-3=7c

7 Simplify 80-3 to 77.

77=7c

8 Divide both sides by 7.

77/7 = c

9 Simplify 77/7 to 11.

11=c

10 Switch sides.

c=11

Sorry about my comment its all messed up, I thought you added a fraction like you did in an answer. Someone answered before me and i just copied mine and pasted it into a comment but it made it all weird. Happy holidays