SOLUTION: Five times the difference between a number and two is the same as four times
the number. What is the number?
Algebra.Com
Question 698105: Five times the difference between a number and two is the same as four times
the number. What is the number?
Answer by nicy12(9) (Show Source): You can put this solution on YOUR website!
let the unknown number be "x"
the mathematical expression for "five times the difference between a number and two..." would be:
5(x-2)
the mathematical expression for "...is the same as four times the number" would be:
= 4x
so combining the expressions would lead us to:
5(x-2) = 4x
solving for "x" :
5x - 10 = 4x Distribute 5
5x - 4x = 10 Combining like terms
x = 10 Answer!
Checking:
5 ( 10 - 2 ) = 4 (10) Substitute the Answer
5 ( 8 ) = 40
40 = 40 Correct!
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