Answer:
If P=Q: (x=R)
If P≠Q: x=(p+q)/2 p≠0, q≠0
Explanation:
IF P=Q: then the statement is true for all real numbers (x=R) (I can’t make the symbol for all real numbers here)
IF P≠Q:
(2x+p)/q=(2x+q)/p
cross multiply
2xp+p²=2xq+q² p≠0, q≠0
2xp-2xq=q²-p² p≠0, q≠0
2x(p-q)=q²-p² p≠0, q≠0
DIvide both sides by 2(p-q) and you get
x=(p+q)/2 p≠0, q≠0