SOLUTION: two times a number plus 6 is three less than one fifth of the number.What is the number?

Question 183013This question is from textbook texas algebra 1
: two times a number plus 6 is three less than one fifth of the number.What is the number? This question is from textbook texas algebra 1

Answer by MathGuyJoe(20) (Show Source): You can put this solution on YOUR website!
In this case, we'll call our number 'n'. To convert the sentence into an equation, just break it up into parts:
"Two times a number plus 6" ->
"is" -> =
"Three less than one-fifth the number" ->

Putting it all together you get:

To get rid of the fraction, multiply both sides by 5:

To group the values, subtract 1n from both sides:

Next, subtract 30 from both sides:

Lastly, divide both sides by 9:

So our number is -5. To check our answer, let's substitute back into our orignal equation:

So it checks out.

Hope this helps. ~ Joe
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