SOLUTION: If 4 is added to twice a number and this sum is multiplied by 2, the result is the same as if the number is multiplied by 3 and 4 is added to the product. What is the number?

Question 121291: If 4 is added to twice a number and this sum is multiplied by 2, the result is the same as if the number is multiplied by 3 and 4 is added to the product. What is the number?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The number:

Twice the number:

4 added to twice a number:

This sum multiplied by 2: RESULT 1

The number multiplied by 3:

4 added to the product: RESULT 2

The results are the same means that they are equal, so:

Distribute the 2:

Add -3x to both sides:

Add -8 to both sides:

Check the answer:
Add 4 to twice the number , then multiply by 2

Three times the number is , add 4, . The results are the same. Answer checks.
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