Final answer:
After simplifying the equation 5x+20=4(x+6), we find that x equals 4, indicating that the equation has one solution.
Step-by-step explanation:
The question asks whether the equation 5x+20=4(x+6) has one solution, no solution, or infinite solutions. To determine the number of solutions, we will solve for x.
- First, let's simplify both sides of the equation:
- Distribute the 4 on the right side: 5x + 20 = 4x + 24.
- Subtract 4x from both sides: x + 20 = 24.
- Subtract 20 from both sides: x = 4.
Since we have determined the value of x, the equation has one solution.