Question

${2}^{x} = {3 }^{ - x}$

Answer 1

${2}^{x} = {3}^{ - x}$
${2}^{x} = \frac{1}{ {3}^{ x} }$
$( {2}^{x} )( {3}^{x} ) = 1$
${6}^{x} = 1$
$x = 0$
Anything power 0 equals 1. Hope this is helpful.