State whether true or false.
`12+(-15)=12-15`

Answer

To determine whether the statement \( 12 + (-15) = 12 - 15 \) is true or false, we will evaluate both sides of the equation.

### Step 1: Evaluate the Left-Hand Side (LHS)
The left-hand side of the equation is \( 12 + (-15) \).

1. When adding a negative number, it is the same as subtracting the absolute value of that number.
2. Therefore, \( 12 + (-15) \) can be rewritten as \( 12 - 15 \).

So, we calculate:
\[ 12 - 15 = -3 \]

### Step 2: Evaluate the Right-Hand Side (RHS)
The right-hand side of the equation is \( 12 - 15 \).

We calculate:
\[ 12 - 15 = -3 \]

### Step 3: Compare LHS and RHS
Now we compare the results from both sides:
- LHS: \( -3 \)
- RHS: \( -3 \)

Since both sides are equal, we conclude that:
\[ 12 + (-15) = 12 - 15 \]

### Final Conclusion
The statement \( 12 + (-15) = 12 - 15 \) is **true**.

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