State true or false :
x=5 is a solution of the equations 3-x=8

Answer

To determine if \( x = 5 \) is a solution to the equation \( 3 - x = 8 \), we will follow these steps:

### Step 1: Write down the equation
The equation we need to check is:
\[ 3 - x = 8 \]

### Step 2: Substitute \( x = 5 \) into the equation
We will replace \( x \) with \( 5 \):
\[ 3 - 5 = 8 \]

### Step 3: Simplify the left-hand side
Now, we simplify the left-hand side:
\[ 3 - 5 = -2 \]

### Step 4: Compare the left-hand side with the right-hand side
Now we compare the left-hand side with the right-hand side:
\[ -2 \neq 8 \]

### Step 5: Conclusion
Since the left-hand side is not equal to the right-hand side, we conclude that:
\[ \text{The statement } x = 5 \text{ is a solution of the equation } 3 - x = 8 \text{ is FALSE.} \]

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