(x+1)+(x+2)+...+(x+100)=5750
=> (x+x+.....+x)+(1+2+3+......+100)=5750
=> 100x+(100+1).100:2=5750
=> 100x+10100:2=5750
=> 100x+5050=5750
=> 100x=5750-5050
=> 100x=700
=> x=7
(x+1)+(x+2)+(x+3)+...+(x+100)=5750
(x+1) + (x+2) + (x+3) +....+ (x+100) = 5750
x+1+x+2+x+3+.......x+100=5750
(x+1) + (x+2)+........+(x+100) = 5750
(x+1)+(x+2)+..............+(x+100)=5750
(x+1)+(x+2)+...+(x+100)=5750
(x+1)+(x+2)+...+(x+100)=5750
(x+1)+(x+2)+...+(x+100)=5750
(x+1)+(x+2)+...+(x+100)=5750
