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

x =

1 answer

To solve the equation, we can begin by multiplying both sides of the equation by the reciprocal of 8/9, which is 9/8. This gives us:

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

Next, we can simplify the right side of the equation:

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

(x + 1/2) = 288/24

(x + 1/2) = 12

To isolate x, we can subtract 1/2 from both sides of the equation:

x = 12 - 1/2

x = 11.5

Therefore, the solution to the equation is x = 11.5.
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