Answer
4
Work Step by Step
For cross multiplication, we know:
$$\frac{a}{d} =\frac{b}{c} \rightarrow ac=bd$$
Thus, we find:
$$\frac{2}{x}=\frac{5}{x+6}\\ 2\left(x+6\right)=x\cdot \:5\\ 2x+12=x\cdot \:5 \\ x=4$$
Checking our solution by plugging the given value back into the equation, we assure that the solutions are not extraneous.
