Following is the simplest way to tackle such questions:

**Given:** P(3, 2) and Q(x, -1). Also, the distance between P and Q= 5 units.

**To find**: The value of 'X'

**Solution: ***We know by mid-point formula in co-ordinate geometry that:*

**For X, we have X2 + X1 / 2 and for Y, we have: **_{Y2 + Y1 /2}

From X we have : X2 + X1/ 2 i.e.

=> 3 + x/2 = 5

=> 3+ x= 10

=> x= 7

**Answer X= 7 **