Question

`x+(x-1)+(x-2)+(x-3)+...+(x-101)=-516`

Answer 1

\(x+\left(x-1\right)+\left(x-2\right)+...+\left(x-101\right)=-516\)

\(x+x-1+x-2+...+x-101=-516\)

\(\left(x+x+...+x\right)-\left(1+2+...+101\right)=-516\)

\(102x-\left[\left(101+1\right)101:2\right]=-516\)

\(102x-5151=-516\)

\(102x=4635\)

\(x=\dfrac{1545}{34}\)

Answer 2

\(\dfrac{1545}{34}\)x=