Answer in true or false:
`p+q=q-p`

Answer

To determine whether the statement \( p + q = q - p \) is true or false, we can follow these steps:

### Step 1: Write down the equation
We start with the equation given in the question:
\[ p + q = q - p \]

### Step 2: Analyze the left-hand side (LHS)
The left-hand side (LHS) of the equation is:
\[ LHS = p + q \]

### Step 3: Analyze the right-hand side (RHS)
The right-hand side (RHS) of the equation is:
\[ RHS = q - p \]

### Step 4: Rearrange the RHS
We can rearrange the right-hand side:
\[ RHS = q - p = q + (-p) \]

### Step 5: Compare LHS and RHS
Now we compare the two sides:
- LHS: \( p + q \)
- RHS: \( q - p \) (which we can also write as \( q + (-p) \))

### Step 6: Check for equality
For the two sides to be equal, we would need:
\[ p + q = q - p \]

If we rearrange \( q - p \) to isolate \( p \):
\[ p + q = q - p \]
Adding \( p \) to both sides gives:
\[ p + p + q = q \]
This simplifies to:
\[ 2p + q = q \]
Subtracting \( q \) from both sides results in:
\[ 2p = 0 \]
This implies:
\[ p = 0 \]

### Conclusion
The equation \( p + q = q - p \) is only true when \( p = 0 \). Therefore, it is not universally true for all values of \( p \) and \( q \). Hence, the statement is **False**.