## Precalculus (10th Edition)

$x=-\frac{3}{2}$
We know that in an arithmetic sequence, the difference of consecutive terms is constant, hence: $(2x+1)-(x+3)=(5x+2)-(2x+1)\\x-2=3x+1\\x-3=3x\\-3=2x\\x=-\frac{3}{2}$