[tex]\frac{2}{3}b+5=20-b[/tex][tex]\begin{gathered} \text{Multiply through by 3 to remove the fraction} \\ 3\times\frac{2}{3}b+3\times5=3\times20-3\times b \end{gathered}[/tex][tex]\begin{gathered} \text{Simplify the equation} \\ 2b+15=60-3b \\ \end{gathered}[/tex][tex]\begin{gathered} \text{collect like terms} \\ 2b+3b=60-15 \end{gathered}[/tex][tex]\begin{gathered} 5b=45 \\ \text{Divide both sides by 5} \end{gathered}[/tex][tex]\begin{gathered} \frac{5b}{5}=\frac{45}{5} \\ b=9 \end{gathered}[/tex]
The value of b is 9
