The equation 53x+113=−43 is solved as follows. Fill in the correct numbers to complete the solution.

Question

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:

• \( 53x = -156 \)
• \( x = \frac{-156}{53} \)