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Answer :

[tex]\begin{gathered} \frac{1}{2}(4x-6)=15 \\ \frac{1}{2}(4x-6)\times2=15\times2 \\ 4x-6=30 \\ \frac{4x}{4}-6=\frac{30}{4} \\ x-6=\frac{15}{2} \\ x-6+6=\frac{15}{2}+6 \\ x=\frac{27}{2} \end{gathered}[/tex]