Answer
$$x=9,\:x=-2$$
Work Step by Step
For cross multiplication, we know:
$$\frac{a}{d} =\frac{b}{c} \rightarrow ac=bd$$
Thus, we find:
$$\left(x-4\right)\left(x+7\right)=\left(x-1\right)\cdot \:10\\ x=9,\:x=-2$$
Checking our solution by plugging the given value back into the equation, we assure that the solutions are not extraneous.
