What is the solution of the equation 8/9(x+12)=323 when solving for x ?(1 point)

Answer 1

To solve the equation 8/9(x+12)=323, we need to isolate the variable x.

First, we can multiply both sides of the equation by 9/8 to get rid of the fraction:
(9/8)(8/9)(x+12) = (9/8)(323)
(x+12) = 323(9/8)

Next, we simplify the right side:
323(9/8) = 3639/8

Now, we subtract 12 from both sides of the equation to isolate x:
(x+12) - 12 = (3639/8) - 12
x = (3639/8) - 12

To simplify the right side further, we need a common denominator of 8:
x = (3639/8) - (12*8/8)
x = (3639/8) - (96/8)

Combining the fractions:
x = (3639 - 96)/8
x = 3543/8

Thus, the solution to the equation 8/9(x+12)=323 is x = 3543/8.