Answer
$14-19\sqrt{x}-3x$
Work Step by Step
Using the FOIL Method which is given by $(a+b)(c+d)=ac+ad+bc+bd,$ the given expression is equivalent to\begin{array}{l}\require{cancel}
(7+\sqrt{x})(2-3\sqrt{x})
\\\\=
7(2)+7(-3\sqrt{x})+\sqrt{x}(2)+\sqrt{x}(-3\sqrt{x})
\\\\=
14-21\sqrt{x}+2\sqrt{x}-3(\sqrt{x})^2
\\\\=
14-21\sqrt{x}+2\sqrt{x}-3x
\\\\=
14-19\sqrt{x}-3x
.\end{array}