SOLUTION: if five is subtracted from twice a number and this difference is tripled, the result is one more than four times the number. find the number. Domain:{8, 9, 10} I tried to set th

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Question 219152: if five is subtracted from twice a number and this difference is tripled, the result is one more than four times the number. find the number. Domain:{8, 9, 10}
I tried to set the problem up as: 2x-5+3(2x-5)=1+4x where the first number is 2x-5 and the 2ns number is 3(2x-5) what did I do wrong?
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
The equation should be 3%282x-5%29=1%2B4x. We're not looking for two numbers. We just want to find that one unknown value of 'x'.



3%282x-5%29=1%2B4x Start with the given equation.


6x-15=1%2B4x Distribute.


6x=1%2B4x%2B15 Add 15 to both sides.


6x-4x=1%2B15 Subtract 4x from both sides.


2x=1%2B15 Combine like terms on the left side.


2x=16 Combine like terms on the right side.


x=%2816%29%2F%282%29 Divide both sides by 2 to isolate x.


x=8 Reduce.


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Answer:

So the solution is x=8 which means that the unknown number is 8.