To find the solution of the equation 89(x+12)=323, we need to isolate the variable x. We can start by distributing 89 to the terms inside the parentheses:
89(x+12) = 323
89x + 89(12) = 323
Simplifying the expression further:
89x + 1068 = 323
Next, we can subtract 1068 from both sides of the equation to isolate the variable:
89x + 1068 - 1068 = 323 - 1068
89x = -745
Finally, to solve for x, we divide both sides of the equation by 89:
89x/89 = -745/89
x = -8.37
Therefore, the solution of the equation when solving for x is x = -8.37.