SOLUTION: 4 times an integer is 30 less than 5 times the next consecutive even integer. Find the two integers.

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Question 199568: 4 times an integer is 30 less than 5 times the next consecutive even integer. Find the two integers.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
"4 times an integer is 30 less than 5 times the next consecutive even integer" translates to 4x=5%28x%2B2%29-30





4x=5%28x%2B2%29-30 Start with the given equation.


4x=5x%2B10-30 Distribute.


4x=5x-20 Combine like terms on the right side.


4x-5x=-20 Subtract 5x from both sides.


-x=-20 Combine like terms on the left side.


x=%28-20%29%2F%28-1%29 Divide both sides by -1 to isolate x.


x=20 Reduce.


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Answer:

So the solution is x=20 which means that the two numbers are x=20 and x+2=20+2=22