Final answer:
The equation 4(2x + 3) - x = 0 does not have infinitely many solutions. It has a single solution which is x = -12/7.
Step-by-step explanation:
The given equation is 4(2x + 3) - x = 0. To create an equation with infinitely many solutions, we need to make sure that the equation simplifies to 0. Let's simplify the equation step by step:
- Distribute 4 to 2x + 3: 8x + 12 - x = 0
- Combine like terms: 7x + 12 = 0
- Subtract 12 from both sides: 7x = -12
- Divide both sides by 7: x = -12/7
Therefore, the equation 4(2x + 3) - x = 0 has the solution x = -12/7. Since this is a single value, it does not have infinitely many solutions.