$$3(r+2)=2t-4$$
$r=\frac{2\left(t-5\right)}{3}$
$$3r+6=2t-4$$
$$3r=2t-4-6$$
$$3r=2t-10$$
$$\frac{3r}{3}=\frac{2t-10}{3}$$
$$r=\frac{2t-10}{3}$$
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$t=\frac{3r}{2}+5$
$$2t-4=3r+6$$
$$2t=3r+6+4$$
$$2t=3r+10$$
$$\frac{2t}{2}=\frac{3r+10}{2}$$
$$t=\frac{3r+10}{2}$$
$$t=\frac{3r}{2}+5$$
