$$\frac{ -11-(-5) }{ 4-x } = \frac{ 9-6 }{ -4-(-3) }$$
$x=2$
$$-11-\left(-5\right)=\left(x-4\right)\left(9-6\right)$$
$$-11+5=\left(x-4\right)\left(9-6\right)$$
$$-6=\left(x-4\right)\left(9-6\right)$$
$$-6=\left(x-4\right)\times 3$$
$$-6=3x-12$$
$$3x-12=-6$$
$$3x=-6+12$$
$$3x=6$$
$$x=\frac{6}{3}$$
$$x=2$$
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