Question 759677
{{{x}}}= the number in the problem
 
I see two possible interpretations.
The one I favor is:
seven times the number = {{{7x}}}
twice the number = {{{2x}}}
the sum of three and twice the number = {{{3+2x}}} or {{{2x+3}}}
seven times the number plus the sum of three and twice the number = {{{7x+2x+3=9x+3}}}
"Seven times a number, plus the sum of three and twice the number is 30"
(interpreted with that comma) is the equation
{{{7x+2x+3=30}}} or {{{9x+3=30}}}
The solution to that equation is {{{x=3}}} because
{{{9x+3=30}}} --> {{{9x=30-3}}} --> {{{9x=27}}} --> {{{x=27/9}}} -->  {{{x=3}}}
 
The other interpretation does not have a pretty, integer number solution:
the sum of three and twice the number = {{{3+2x}}} or {{{3x+2}}}
the number plus the sum of three and twice the number = {{{x+3+2x}}} or {{{3x+3}}}
Seven times that would be {{{7(3x+3)}}} and if
"seven times (the number plus the sum of three and twice the number) is 30"
our equation would be
{{{7(3x+3)=30}}} --> {{{21x+3=30}}} --> {{{21x=30-3}}} --> {{{21x=27}}} --> {{{x=27/21}}} --> {{{x=9/7}}}