Question 1012123
let the number be {{{x}}}
first, step-by-step, write equation 

1.John is thinking of a number: {{{x}}}

2.He multiplied this number by {{{2}}}: {{{2x}}}

3.Then he added {{{11}}} to the new number:{{{2x+11}}}

4. Then he multiplied the new number by {{{4}}}:{{{4(2x+11)}}}

5. Then he divided this new number by {{{10}}}:{{{4(2x+11)/10}}}

6. His final number was {{{10}}}: {{{4(2x+11)/10=10}}}

now solve equation for {{{x}}}


{{{4(2x+11)/10=10}}}

{{{cross(4)2(2x+11)/cross(10)5=10}}}

{{{2(2x+11)/5=10}}}

{{{2(2x+11)=10*5}}}

{{{4x+22=50}}}

{{{4x=50-22}}}

{{{4x=28}}}

{{{x=28/4}}}

{{{x=7}}}


check our solution:

{{{4(2x+11)/10=10}}}

{{{4(2(7)+11)/10=10}}}

{{{4(14+11)/10=10}}}

{{{4(25)/10=10}}}
{{{100/10=10}}}

{{{10=10}}}