Question 827404
{{{x*sqrt(3) - x = 7}}}

{{{x*sqrt(3)  =x+ 7}}} ............square both sides

{{{(x*sqrt(3))^2  =(x+ 7)^2}}}


{{{x^2*3  =x^2+14x+ 49}}}

{{{3x^2 -x^2-14x-49=0}}}

{{{2x^2-14x-49=0}}}..............now you can solve for {{{x}}} using quadratic formula


 {{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}} 


 {{{x = (-(-14) +- sqrt( (-14)^2-4*2*(-49) ))/(2*2) }}} 


{{{x = (14 +- sqrt( 196+392 ))/4 }}}


{{{x = (14 +- sqrt( 588 ))/4 }}}


{{{x = (14 +- 24.24871130596428 )/4 }}}


solutions:

{{{x = (14 + 24.24871130596428 )/4 }}}

{{{x = 38.24871130596428/4 }}}

{{{x=9.562177826491071}}}

{{{x=9.6}}}

or

{{{x = (14 - 24.24871130596428 )/4 }}}

{{{x = -10.24871130596428/4 }}}

{{{x=-2.56217782649107}}}

{{{x=-2.6}}}