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.