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Consider this equation.

5/8(x+1/2)=100

Correctly order the steps used to solve this equation.

(1 point)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Step 1:
Step 2:
Question 2
Solve for x.

5/8(x+1/2)=100


(1 point)
Responses

16012
160 and 1 half

62
62

15912
159 and 1 half

63
63
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1 answer

To solve the equation \( \frac{5}{8}(x + \frac{1}{2}) = 100 \), here are the correct steps:

Step 1: Multiply both sides by \(\frac{8}{5}\) to eliminate the fraction.

  • This gives you \(x + \frac{1}{2} = 160\).

Step 2: Subtract \(\frac{1}{2}\) from both sides to isolate \(x\).

  • This gives you \(x = 160 - \frac{1}{2} = 159.5\) or \(159 \frac{1}{2}\).

So, the answer to your question about the ordered steps would be:

Step 1: Multiply both sides by \(\frac{8}{5}\).

Step 2: Subtract \(\frac{1}{2}\) from both sides.

As for the value of \(x\):

The solution is \(159 \frac{1}{2}\).