Question

What is the solution to the equation?
3/4(4c+16)=2c+9?
c= ?

Answer 1

What I usually like to do is turn the fraction into what it really is, which is multiplying the equation on the left by 3 and then dividing it by 4.

3*(4c+16) = 12c + 48
Then divide by 4, so we get:

12c/4 + 48/4
3c + 12

So that's on the left side

3c + 12 = 2c + 9

Then let's get the c's on the left

3c - 2c + 12 = 2c - 2c + 9
1c + 12 = 9

Then get the 12 on the other side
1c + 12 - 12 = 9 - 12
1c = -3
c= -3