Question 172391
let the number be 'x'

eight times a number = 8x

twice the number = 2x

6 less than twice the number  = 2x-6


eight times a number plus 6 less than twice the number = 8x + 2x -6 

it is given, 

eight times a number plus 6 less than twice the number is 34

therefore 8x + 2x -6  = 34


==> 10x -6 = 34

==> 10x = 34 + 6


==> 10x = 40



==> {{{ 10x/10 = 40/10}}}


==> {{{ x = 4}}}


so the number is 4


Hope you found the explanation useful.


Regards.


Praseeena.