After distributing, rearranging, and simplifying the inequality, the solution is c < 32/27.
We can solve the inequality by distributing the terms, subtracting the numbers, rearranging the terms, adding/subtracting to both sides, simplifying, and dividing both sides by the same factor.
Distribute the terms:
-7 + 20c - 20 < (-7c + 8) - 3
Subtract the numbers:
20c - 27 < -7c + 5
Rearrange terms:
20c - 27 < -7c + 5
Subtract the numbers:
20c - 27 < -7c + 5
Add/subtract to both sides:
20c - 27 + 27 < -7c + 5 + 27
Simplify:
20c < -7c + 32
Add/subtract to both sides:
20c + 7c < -7c + 32 + 7c
Simplify:
27c < 32
Divide both sides of the inequality by the same factor:
(27c / 27) < (32 / 27)
Simplify:
c < 32/27