Hey there! :)
5c + 1 = 7c - 8
To do these types of problems, we must isolate our given variable [c].
So, we must separate the variables from the coefficients.
We can start by subtracting 1 from both sides.
5c + 1 - 1 = 7c - 8 - 1
Simplify.
5c = 7c - 9
Then, we subtract 7c from both sides.
5c - 7c = 7c - 9 - 7c
Simplify.
-2c = -9
Divide both sides by -2.
-2c ÷ -2 = -9 ÷ -2
Simplify.
c = 9/2
If you wish to simplify this further into a mixed fraction, then we can divide 9 by 2. This turns it into 4.5 which turns into 4 1/2 in fraction form.
Therefore, our answer is : c = 9/2 OR 4 1/2
~Hope I helped!~