8 times of a number is 10 more than. 6 times of the number. what is the number?

Question

i really need help. im not great at math so it would mean a lot if someone could help me out. thanks so much!

Answer 1

Good Evening Jenna!  Algebra is an expression which uses numbers in lieu of writing or words.  Your question in writing is-The unknown number (X) is eight times the unknown number.  It is equal to the number ten more than six times the unknown number (X). 

 

Written in an algebraic expression:  8 * (X) = 10 + 6 * (X)

 

8 times X or 8X = 10 + 6 times X or 6X

 

8X = 10 + 6X.  To solve, you must isolate the (X).  You do so by getting the (X) to one side of the equation as follows:

 

8X-6X = 10 + (6X-6X).  (Remember get the X to one side, isolate the X).

 

2X = 10.  Continue to isolate the X by dividing 2X/2.  What you do to one side, you must do to the other side.  10/2

2X/2 = 10/2.  X = 5.  Check by substituting (5) for (X).  8(5) = 10 + 6(5).  40 = 10 + 30.  40 = 40.    

Answer 2

Hi,

 

The key to word (story) problems is to translate the words into precise, concise math expressions.  Then, the calculations are really easy.  So, stop being "not great," because here is the explanation:

 

Let the number we want to find be x.

 

"8 times of a number"     means     8*x

"is"   means     "="

"10 more than"    means      10 +

"6 times the number"     means      6*x

"what is the number?"    means     report x

 

Putting those together, we get:

        8*x  = 10 + 6*x               (PLZ match words to symbols as you read the problem)

 

Now, the calculations are a piece of cake (see Cassandra L's answer).

Answer 3

 8X=6X+10

-6X -6X

-------------

2X=10

--    ---

2       2

 

X=5