[tex]y = \frac{3x}{2} + 8[/tex]
the L.C.M is 2
since it is the highest denominator.
so multiply through by the L.C.M
[tex]2 \times y =2 \times \frac{3x}{2} + 8 \times 2[/tex]
[tex]2y = 3x + 16[/tex]
making x the subject.
[tex]3x = 2y - 16[/tex]
dividing through by 3
[tex] \frac{3x}{3} = \frac{2y - 16}{3} [/tex]
[tex]x = \frac{2y - 16}{3} [/tex]