Question

Solve: −negative 1 over 2 x + 1 = −x + 8

Answer 1

Is the problem:
\[\frac{-1}{2x}+1=-x+8\]?
Your wording is confusing

Answer 2

yes

Answer 3

OK. Multiply through by 2x.
\[-1+2x = (-x)(2x)+8(2x)\]\[-1+2x = -x^2+16x\]\[x^2-14x-1 = 0\]
And use the quadratic formula