Estimate the value of x

Question

given this equation: 4x−189=578
.(1 point)
Responses

100
100

200
200

160
160

150

Answer 1

To solve the equation \( 4x - 189 = 578 \), follow these steps:

1. Add 189 to both sides of the equation:

   \[ 4x = 578 + 189 \]

   \[ 4x = 767 \]

2. Next, divide both sides by 4 to solve for \( x \):

   \[ x = \frac{767}{4} \]

   \[ x = 191.75 \]

Since none of the provided choices (100, 200, 160, 150) are close to 191.75, there seems to be no correct response provided, but the closest estimate would be 200 based on rounding.

If estimated options need to be chosen without further context, 200 may be the best choice.