Question

Shane thinks of a number and subtracts 5/2 from it. He multiplies the result by 8. The result now obtained is 3 times the same number he thought of. What is the number? Write the equation and solve it.
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Answer 1

Answer:

8(x-5/2) = 3x

8x-20 = 3x

8x-3x = 20

5x = 20

x = 20/5

x = 4

Step-by-step explanation:

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Answer 2

First, lets break the question step-by-step for easy understanding.

Step 1: 5/2 is subtracted from x.

Step 2: The answer in Step 1 is multiplied by 8.

Step 3: The answer derived in Step 2 is 3 times of x.

Hence, the equation could be formed as follows:

(x-5/2)*8=3x

(2x-5)*4=3x

8x-20=3x

8x-3x=20

5x=20

x=20/5

x=4

Therefore, the number is 4.

Hope this helps. Thank you!
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