To solve the equation, 8/9(x + 1/2) = 32/3, we will first simplify the equation:
8/9(x + 1/2) = 32/3
8/9 * x + 8/9 * 1/2 = 32/3
8/9 * x + 4/9 = 32/3
Now, to eliminate the fractions, we can multiply through by the common denominator of 9 * 3 = 27:
27 * (8/9 * x + 4/9) = 27 * (32/3)
(27 * 8/9) * x + (27 * 4/9) = 27 * (32/3)
24x + 12 = 96
Next, we simplify the equation further:
24x + 12 = 96
24x = 96 - 12
24x = 84
Finally, we solve for x by dividing both sides of the equation by 24:
24x/24 = 84/24
x = 3.5
Therefore, the solution to the equation is x = 3.5.
What is the solution of the equation 8/9 (x + 1/2) = 32/3 when solving for x?
x = ____
1 answer