Answer:
c = -41/16
Step-by-step explanation:
You want to solve the 2-step linear equation -7/3=2/3c-5/8.
The two steps for such an equation are ...
Step 1 - add the opposite of the constant on the side with the variable term.
-7/3 +5/8 = 2/3c -5/8 +5/8
-41/24 = 2/3c . . . . . . . . . . . . . simplify
Step 2 - multiply by the inverse of the coefficient of the variable.
(-41/24)(3/2) = (2/3c)(3/2)
-41/16 = c
Some folks like to solve equations like this by eliminating fractions as a first step. Here, that can be accomplished by multiplying the equation by 24 (the least common denominator).
(-7/3)(24) = (2/3c)(24) -(5/8)(24) . . . multiply the equation by 24
-56 = 16c -15 . . . . . . . simplify; fractions are gone
-41 = 16c . . . . . . . . . step 1, add the opposite of the unwanted constant
-41/16 = c . . . . . . . . step 2, divide by the coefficient of the variable
