Answer
2
Work Step by Step
For cross multiplication, we know:
$$\frac{a}{d} =\frac{b}{c} \rightarrow ac=bd$$
Thus, we find:
$$8\left(x-1\right)=\left(3x-2\right)\cdot \:2 \\ 8x=6x+4\\ x=2$$
Checking our solution by plugging the given value back into the equation, we assure that the solutions are not extraneous.