Estimate the value of x given this equation: 4x−189=578 .(1 point)

Question

Responses

100
100

150
150

160
160

200

Answer 1

To solve the equation \( 4x - 189 = 578 \), we can start by isolating \( x \).

1. Add 189 to both sides of the equation: \[ 4x = 578 + 189 \] \[ 4x = 767 \]

2. Now, divide both sides by 4 to solve for \( x \): \[ x = \frac{767}{4} \] \[ x = 191.75 \]

Since there are no options provided that exactly match \( 191.75 \), the closest estimate would be:

200

So, the best estimate for \( x \) based on the given options is 200.