Estimate the value of x given this equation: 11x + 29 = 82

Question

11

10

6

5

Answer 1

To solve the equation \( 11x + 29 = 82 \), we can follow these steps:

1. Subtract 29 from both sides of the equation: \[ 11x + 29 - 29 = 82 - 29 \] This simplifies to: \[ 11x = 53 \]

2. Next, divide both sides by 11 to isolate \( x \): \[ x = \frac{53}{11} \]

Calculating \( \frac{53}{11} \): \[ \frac{53}{11} \approx 4.8181 \]

This means \( x \) is approximately 4.82. Among the provided answer choices:

• 11
• 10
• 6
• 5

The closest estimate would be 5.