Answer :
Solution
We want to find x in the equation
[tex]9(x-3)=5(2-x)[/tex]So we basically need to expand the bracket, collect like terms and solve for x
[tex]\begin{gathered} 9(x-3)=5(2-x) \\ open\text{ the bracket} \\ 9x-27=10-5x \\ collect\text{ like terms} \\ 9x+5x=10+27 \\ 14x=37 \\ divide\text{ both sides by 14} \\ \frac{14x}{14}=\frac{37}{14} \\ x=\frac{37}{14} \end{gathered}[/tex]Therefore, the answer is
[tex]x=\frac{37}{14}[/tex]