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Estimate the value of x given this equation 4x- 189 = 578

200

150

160

100

1 answer

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

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

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

Since \( 191.75 \) is not one of the options provided (200, 150, 160, 100), it appears this specific equation does not lead to a whole number from the provided choices.

Given the closest choice to \( 191.75 \) is 200, it seems to be the best estimate based on the provided options.