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

Answer 1

To solve for x in the equation 8/9(x + 1/2) = 32/3, we can first eliminate the fraction by multiplying both sides of the equation by 9/8:

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

This simplifies to:

(x + 1/2) = (36/1)

Next, we can subtract 1/2 from both sides of the equation:

(x + 1/2) - 1/2 = 36/1 - 1/2

This simplifies to:

x = 35/2 or 17.5

Therefore, the solution to the equation is x = 17.5.