SOLUTION: The difference of 5 times a number and 9 equals the number increased by two. What is the number?

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Question 897939: The difference of 5 times a number and 9 equals the number increased by two. What is the number?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
"The difference of 5 times a number and 9 equals the number increased by two" translates to the algebraic equation 5x-9=x%2B2


Let's solve for x


5x-9=x%2B2 Start with the given equation.


5x=x%2B2%2B9 Add 9 to both sides.


5x-x=2%2B9 Subtract x from both sides.


4x=2%2B9 Combine like terms on the left side.


4x=11 Combine like terms on the right side.


x=%2811%29%2F%284%29 Divide both sides by 4 to isolate x.


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Answer:

So the solution is x=11%2F4


The unknown number is 11%2F4 which is 2.75 in decimal form.