To solve the equation, you need to isolate the variable x. Here's how you can do it:
Multiply both sides of the equation 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, the (8/9) and (9/8) cancel each other out, leaving:
x + 1/2 = (9/8) * (32/3)
Multiply the fractions on the right side:
x + 1/2 = 36/8
Simplify the right side:
x + 1/2 = 9/2
To get rid of the 1/2 on the left side, subtract 1/2 from both sides:
x + 1/2 - 1/2 = 9/2 - 1/2
On the left side, the 1/2 and -1/2 cancel out, leaving:
x = 9/2 - 1/2
Simplify the right side:
x = 8/2
Further simplify:
x = 4
So the solution to the equation is x = 4.
What is the solution of the equation 8/9(x+1/2)=32/3
when solving for x ?
1 answer