c = -5/3 = -1 2/3
Write down the equation and solve for c
-3 - 3/4(c-4) = 5/4
Distribute the 3/4
-3 -(3/4)c + 3 = 5/4
Perform the addition of -3 and 3
-(3/4)c = 5/4
Divide both sides by -(3/4)
c = 5/4 / (-3/4) = 5/4 * (-4/3) = -20/12 = -5/3
So the value of c is -5/3. Let's verify it.
-3 - 3/4(-5/3 - 4) = x
Distribute the -3/4
-3 - (3/4)(-5/3) + (3/4)4 = x
-3 +15/12 + 3 = x
Combine terms
15/12 = x
Simplify
5/4 = x