Explicação passo-a-passo:

[tex] {32}^{x + 3} = {2}^{ \frac{1}{3} } [/tex]

[tex]( { {2}^{5} )}^{x + 3} = {2}^{ \frac{1}{3} } [/tex]

[tex] {2}^{5x + 15} = {2}^{ \frac{1}{3} } [/tex]

[tex]5x + 15 = \frac{1}{3} [/tex]

[tex]5x = \frac{1}{3} - 15[/tex]

[tex]5x = \frac{1}{3} - \frac{45}{3} [/tex]

[tex]5x = - \frac{44}{3} [/tex]

[tex]x = ( - \frac{44}{3} ) \: . \: \frac{1}{5} [/tex]

[tex]x = - \frac{44}{15} [/tex]