Question 227712
Eight times a number plus six less than twice the number is 34.


Step 1.  Let n be the number.


Step 2.  Let 8n be eight times a number


Step 3.  Let 8n+2n-6 be eight times a number plus 6 less than twice the number


Step 4.  Then 8n+2n-6=34 since eight times a number plus six less than twice the number is 34.


Step 5.  Solving yields the following steps.


{{{10n-6=34}}}


Add 6 to both sides of the equation


{{{10n-6+6=34+6}}}


{{{10n=40}}}


Divide by 10 to both sides of the equation


{{{10n/10=40/10}}}


{{{n=4}}}


Step 6.  ANSWER:  The number is 4.


I hope the above steps were helpful.


For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.


And good luck in your studies!


Respectfully,
Dr J

http://www.FreedomUniversity.TV