To solve the equation 8/9(x + 1/2) = 32/3 for x, we will first distribute 8/9 to the terms inside the parentheses:
(8/9)(x) + (8/9)(1/2) = 32/3
Which simplifies to:
8/9x + 4/9 = 32/3
Next, we will subtract 4/9 from both sides to isolate the term with x:
8/9x = 32/3 - 4/9
To add or subtract fractions, we need to find a common denominator. In this case, the common denominator is 9:
8/9x = (32/3)(3/3) - 4/9
8/9x = 96/9 - 4/9
Now that the fractions have a common denominator, we can combine them:
8/9x = 92/9
Finally, to solve for x, we will multiply both sides of the equation by the reciprocal of 8/9, which is 9/8:
(8/9x)(9/8) = (92/9)(9/8)
x = (828/72)
x = 69/6
x = 11.5
Therefore, the solution to the equation is x = 11.5.
What is the solution of the equation 8/9 ( x + 1/2)=32/3 when solving for x ?
1 answer
1 answer