What is the solution of the equation 89(x+12)=323

when solving for x
?(1 point)

1 answer

To solve the equation \( 89(x + 12) = 323 \) for \( x \), follow these steps:

  1. Distribute \( 89 \) on the left side: \[ 89x + 89 \cdot 12 = 323 \] \[ 89x + 1068 = 323 \]

  2. Subtract \( 1068 \) from both sides: \[ 89x = 323 - 1068 \] \[ 89x = -745 \]

  3. Divide both sides by \( 89 \): \[ x = \frac{-745}{89} \] \[ x \approx -8.37 \]

So the solution for \( x \) is \( \frac{-745}{89} \) or approximately \( -8.37 \).