Final answer:
To solve the equation 2x + 7.5 = 23.57 for x, subtract 7.5 from both sides then divide by 2, which results in x = 8.035, making option b) the correct answer.
Step-by-step explanation:
The question asks us to solve for x in the equation 2x + 7.5 = 23.57. To find the value of x, we need to perform a series of steps to isolate x on one side of the equation.
- Subtract 7.5 from both sides of the equation to get 2x = 23.57 - 7.5.
- Perform the subtraction to obtain 2x = 16.07.
- Divide both sides by 2 to get x = 16.07 / 2.
- Complete the division to find x = 8.035.
Therefore, the correct answer is b) x = 8.035.