What What is is the the solution of the equation 8/9(x + 1/2) = 32/3 when solving for ?

Answer 1

To solve the equation 8/9(x + 1/2) = 32/3 for x, we can start by simplifying both sides.

We can first multiply both sides of the equation by 9/8 to eliminate the fraction on the left side:

(9/8) * (8/9)(x + 1/2) = (9/8) * (32/3)
(x + 1/2) = 4

Now, we need to isolate x on one side of the equation. We can do that by subtracting 1/2 from both sides.

(x + 1/2) - 1/2 = 4 - 1/2
x = 3.5

Therefore, the solution to the equation 8/9(x + 1/2) = 32/3 is x = 3.5.

Answer 2

It's wrong

Answer 3

Apologies for the mistake. Let's solve the equation correctly:

To solve the equation 8/9(x + 1/2) = 32/3 for x, we can start by simplifying both sides:

8/9(x + 1/2) = 32/3

We can multiply both sides of the equation by 9 to eliminate the fraction on the left side:

(8/9)(x + 1/2) * 9 = (32/3) * 9

Simplifying, we have:

8(x + 1/2) = 32 * 3

Distribute 8 on the left side:

8x + 8/2 = 96

Simplify:

8x + 4 = 96

Now, subtract 4 from both sides:

8x = 96 - 4

8x = 92

Finally, isolate x by dividing both sides by 8:

x = 92/8

Simplifying, we get:

x = 11.5

Therefore, the solution to the equation 8/9(x + 1/2) = 32/3 is x = 11.5.