$$\frac{ 3(x+1) }{ 2 } = \frac{ 2(x+2) }{ 3 }$$
$x=-\frac{1}{5}=-0.2$
$$3\times 3\left(x+1\right)=2\times 2\left(x+2\right)$$
$$9\left(x+1\right)=2\times 2\left(x+2\right)$$
$$9x+9=2\times 2\left(x+2\right)$$
$$9x+9=4\left(x+2\right)$$
$$9x+9=4x+8$$
$$9x+9-4x=8$$
$$5x+9=8$$
$$5x=8-9$$
$$5x=-1$$
$$x=\frac{-1}{5}$$
$$x=-\frac{1}{5}$$
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