What value of c makes the equation true?

−3−3/4(c−4)=5/4

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