Estimate the value of x

Question

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

150
150

160
160

200
200

100..

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. Divide both sides by 4:

   $$x=\frac{767}{4}$$

   $$x=191.75$$

Since 191.75 is not among the provided response options, it's not clear which options you are supposed to choose from based on the typical integer estimations.

If you're looking for an integer estimate, you might round 191.75 to 200. Thus, the best response from the given options is:

200.