Estimate the value of x given this equation: 11x+29=82 .(1 point)Responses6 5 10 11

Answer 1

To estimate the value of \( x \) in the equation \( 11x + 29 = 82 \), follow these steps:

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

2. Now, divide both sides by 11: \[ x = \frac{53}{11} \]

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

Since the options provided are 6, 5, 10, and 11, it looks like none of these are exact, but the closest integer is 5.

So, the best estimate for \( x \) is 5.