How do you solve 6( 4+ c ) = 5( c - 5)?

1 Answer
Mar 16, 2018

c=-49

Explanation:

Well, to start off, you would first use the distributive property to get rid of the parentheses from both sides.

6(4+c) = 5(c-5)

becomes

24+6c = 5c -25

Next, you would want to isolate the variable by getting all of them to one side of the equal sign and the non-variables on the other.

So from

24+6c = 5c-25

you would subtract 5c from both sides and 24 from both sides

24-24 +6c -5c = 5c-5c -25 -24

The 24's cancel out and so do the 5c's. You are then left with

6c-5c = -25-24

Subtract 5c from 6c, add -24 and -25 together to get -49, and that is your answer!

c = -49