Solve using the addition principle. Don't forget to check. $$ -48+x=-75 $$

Question

UpStudy AI · Accepted Answer

To solve the equation $$ -48 + x = -75 $$ using the **addition principle**, follow these steps:

1. **Objective:** Isolate the variable $$ x $$.

2. **Apply the Addition Principle:** Add 48 to both sides of the equation to eliminate the $$-48$$ on the left side.

$$
   -48 + x + 48 = -75 + 48
   $$

3. **Simplify Both Sides:**

$$
   x = -27
   $$

4. **Check the Solution:** Substitute $$ x = -27 $$ back into the original equation to verify.

$$
   -48 + (-27) = -75
   $$
   
   $$
   -75 = -75 \quad \text{✓}
   $$

The left side equals the right side, confirming that the solution is correct.

**Final Answer:** 
$$
x = -27
$$
$$ x = -27 $$

Solve using the addition principle. Don't forget to check. \( -48+x=-75 \)