The inverse relation of x and price is being highlighted here when purchasing power is kept intact. Here, Demand for x always moves opposite to price change - therefore its negative. I am including zero to consider the case of complementary goods - its totally an income effect based change in demand. As for giffen goods and inferior, the income effect turns out positive - in giffen goods, it manages to overpower the SE and produce meaning overall positive relationship between x and price change.
“Operator! Give me the number for 911!”