Final answer:
After substituting x with 2 in the equation 4(5x - 1) = 36 and following the order of operations, the left side equals 36, which confirms that x = 2 is indeed a solution to the equation.
Step-by-step explanation:
To determine if x = 2 is a solution to the equation 4(5x - 1) = 36, we substitute x with 2 in the equation and check if the equality holds true.
- Replace x with 2 in the equation: 4(5(2) - 1).
- Multiply 5 by 2: 4(10 - 1).
- Subtract 1 from 10: 4(9).
- Multiply 4 by 9: 36.
The result is indeed 36, which matches the right side of the equation. Therefore, x = 2 is a solution to the equation.