Question 176556
assume you mean:
{{{-(x-5)^(1/4) + (7/3) = 2}}}
{{{-(x-5)^(1/4) = 2 - (7/3)}}}
{{{-(x-5)^(1/4) = (6/3) - (7/3)}}}
{{{-(x-5)^(1/4) = -1/3}}}
mult both sides by -1
{{{(x-5)^(1/4) =  1/3}}}
raise both sides^4
x-5 = {{{1/81}}}
x = 5{{{1/81}}}
:
:
check solution using decimal value for x; 5.0123
{{{-(5.0123-5)^(1/4) + (7/3) = 2}}}
{{{-(.0123)^(1/4) + (7/3) = 2}}}
{{{-.3333 + (7/3) = 2}}}
which is:
{{{-(1/3) + (7/3) = 2}}}