Question

Solve for x to determine if the equation has one, none, or infinite solutions.

6(2x - 3) - 4x = 8x + 9

A.The equation has infinite solutions
B. The equation has no solution
C. The equation has one solution, x = 9
D. The equation has one solution, x = -9

Answer 1

Let's solve for x:

6(2x - 3) - 4x = 8x + 9
12x - 18 - 4x = 8x + 9
8x - 18 = 8x + 9
-18 = 9

This equation simplifies to -18 = 9, which is not true. Therefore, there is no solution to this equation, so the answer is:

B. The equation has no solution.