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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.

58(x+12)=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 \( \frac{5}{8}(x + \frac{1}{2}) = 100 \), we can follow these steps:

Step 1:

First, eliminate the fraction by multiplying both sides by 8: \[ 5(x + \frac{1}{2}) = 800 \]

Step 2:

Next, divide both sides by 5: \[ x + \frac{1}{2} = 160 \]

Step 3:

Subtract \(\frac{1}{2}\) from both sides to isolate \(x\): \[ x = 160 - \frac{1}{2} = 159.5 \]

Thus, putting the responses in order would be:

  1. Multiply both sides by 8 to eliminate the fraction.
  2. Divide both sides by 5.
  3. Subtract \(\frac{1}{2}\) from both sides to solve for \(x\).

Now, for the second equation \( \frac{5}{8}(x + 12) = 100 \):

Following similar steps:

Step 1:

Multiply both sides by 8: \[ 5(x + 12) = 800 \]

Step 2:

Divide both sides by 5: \[ x + 12 = 160 \]

Step 3:

Subtract 12 from both sides to isolate \(x\): \[ x = 160 - 12 = 148 \]

So, the correct answer to this equation is \(148\).

If you are given multiple-choice options for \(x\) in the second question, please refer to those and match with the calculated value.