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

Answer 1

To solve for x in the equation 8/9(x+1/2) = 32/3, we can start by multiplying both sides of the equation by the reciprocal of 8/9, which is 9/8. This will cancel out the fraction on the left side and give us:

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

Simplifying this equation gives us:

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

Now we can distribute the 1 on the left side of the equation:

x + 1/2 = 36/1

Multiplying both sides of the equation by 2 to get rid of the fraction gives:

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

This simplifies to:

2x + 1 = 72

Subtracting 1 from both sides of the equation gives us:

2x = 71

Finally, we can solve for x by dividing both sides of the equation by 2:

x = 71/2