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

Question

8
9
(
𝑥
+
1
2
)
=
32
3
when solving for x
𝑥
?(1 point)
x
𝑥
=..

Answer 1

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

1. Distribute:
   \[ 89x + 89 \cdot 12 = 323 \] \[ 89x + 1068 = 323 \]

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

3. Solve for \( x \):
   Divide both sides by 89: \[ x = \frac{-745}{89} \] \[ x \approx -8.38 \]

So, the solution for \( x \) is: \[ x = -\frac{745}{89} \approx -8.38 \]