Verified Answer :

The answer is C. no solution. The only way you can show how, is by solving the equation.

3(4x - 3) - 7x = 5x - 9

First, expand your equation so it will be easier to simplify.
\((3)(4x) + (3)(-3)+-7x = 5x + -9\)
Second, multiply (3)(4x) to get 12x. 
\(12x + (3)(-3)+-7x=5x + -9\)
Third, multiply (3)(-3) to get -9.
\(12x + -9 + -7x = 5x + -9\)
Fourth, combine the like terms. (x and -9 alone).
\((12x + -7x) + (-9) = 5x - 9\)
Fifth, subtract (12x + -7x) to get 5x.
\(5x + -9 = 5x - 9\)
Sixth, change 5x + -9 into a subtraction.
\(5x - 9 = 5x - 9\)
Seventh, since both sides are equal, that means that the equation has infinite solutions.

Answer: B) infinite solutions