$$\frac{2}{3}x+1=\frac{15}{9}it$$
$t=-\frac{2ix}{5}-\frac{3}{5}i$
$$\frac{2}{3}x+1=\frac{5}{3}it$$
$$\frac{5}{3}it=\frac{2}{3}x+1$$
$$\frac{5}{3}it=\frac{2x}{3}+1$$
$$\frac{\frac{5}{3}it}{\frac{5}{3}i}=\frac{\frac{2x}{3}+1}{\frac{5}{3}i}$$
$$t=\frac{\frac{2x}{3}+1}{\frac{5}{3}i}$$
$$t=-\frac{2ix}{5}-\frac{3}{5}i$$
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$x=\frac{5it-3}{2}$
$$\frac{2}{3}x=\frac{5}{3}it-1$$
$$\frac{2}{3}x=\frac{5it}{3}-1$$
$$\frac{\frac{2}{3}x}{\frac{2}{3}}=\frac{\frac{5it}{3}-1}{\frac{2}{3}}$$
$$x=\frac{\frac{5it}{3}-1}{\frac{2}{3}}$$
$$x=\frac{5it-3}{2}$$
