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

when solving for x
?

1 answer

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

  1. Distribute the left side: \[ 89x + 89 \cdot 12 = 323 \] Calculate \( 89 \cdot 12 \): \[ 89 \cdot 12 = 1068 \] So, the equation becomes: \[ 89x + 1068 = 323 \]

  2. Subtract 1068 from both sides: \[ 89x = 323 - 1068 \] Calculate \( 323 - 1068 \): \[ 323 - 1068 = -745 \] Now, the equation is: \[ 89x = -745 \]

  3. Divide both sides by 89: \[ x = \frac{-745}{89} \] Now perform the division: \[ -745 \div 89 = -8.38... \text{ (approximately)} \]

Thus, the solution for \( x \) is: \[ x \approx -8.38 \]

If you want it as an exact fraction: \[ x = -\frac{745}{89} \]