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

1 answer

To solve for x in the equation (8/9)(x + 1/2) = 32/3, we can first simplify the equation by multiplying both sides by the reciprocal of (8/9), which is (9/8).

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

On the left side of the equation, the (8/9) and (9/8) cancel each other out, leaving us with:

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

We can further simplify the right side of the equation:

(9/8) * (32/3) = (9 * 32) / (8 * 3) = 288/24 = 12

Therefore, the equation becomes:

x + 1/2 = 12

Next, we can isolate x by subtracting 1/2 from both sides of the equation:

x + 1/2 - 1/2 = 12 - 1/2

x = 11.5

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