Estimate the value of x

Question

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

100
100

150
150

160
160

200

Answer 1

To solve the equation \( 4x - 189 = 578 \), we first isolate \( x \).

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

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

Based on the responses provided, it looks like the closest estimation for \( x \) would be 200.

So the answer is 200.