Answer
$$x=0$$
Work Step by Step
We use cross multiplication to solve. Doing this, we find:
$$2x\left(4x-3\right)=-\left(x+4\right)\cdot \:3x \\ x=0,\:x=-\frac{6}{11}$$
Checking, we see that $x=-\frac{6}{11}$ is extraneous.
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