Question

The equation 53x+113=−43 is solved as follows. Fill in the correct numbers to complete the solution.
53x+113=−43
53x=
Subtract 113 from both sides.
x=
Multiply both sides by 35, the reciprocal of 53.

Answer 1

Let's go through the solution step by step.

Starting with the equation:
\[ 53x + 113 = -43 \]

1. **Subtract 113 from both sides:**
\[
53x = -43 - 113
\]
\[
53x = -156
\]

2. **Now, we want to solve for \( x \). Divide both sides by 53:**
\[
x = \frac{-156}{53}
\]

3. **To finish, if you're referring to multiplying by the reciprocal, it would actually be saying to multiply by \( \frac{1}{53} \):**
\[
x = -156 \cdot \frac{1}{53}
\]

To summarize:
- After subtracting 113: \( 53x = -156 \)
- After dividing by 53: \( x = \frac{-156}{53} \)

Thus, the completed steps are:
- \( 53x = -156 \)
- \( x = \frac{-156}{53} \)