Final answer:
After solving the original equation, 2x+3= 1/32, for x, we determine that x equals -95/64. None of the choices provided match this solution, so the correct answer is 'd. None of the choices'.
Step-by-step explanation:
The question given is asking which of the following choices is equivalent to the equation 2x+3= 1/32. To determine which choice is equivalent to the original equation, we must first solve for x by subtracting 3 from both sides of the equation and then dividing by 2 to isolate x.
Following the steps for solving a linear equation:
- Subtract 3 from both sides: 2x + 3 - 3 = 1/32 - 3
- Simplify: 2x = -95/32 (since 1/32 - 96/32 = -95/32)
- Divide both sides by 2: x = -95/64
After solving for x, we can now see that none of the provided choices (a. X+3= -5 b. X+3= -3 c. x+3= 3) match the solution since none of them will result in x equalling -95/64 when isolated. Therefore, the correct choice is d. None of the choices.