To solve for x, we need to isolate it on one side of the equation.
8/9 (x + 1/2) = 32/3
First, we can distribute 8/9 to both terms inside the parentheses:
(8/9)x + 8/9(1/2) = 32/3
Next, we simplify:
(8/9)x + 4/9 = 32/3
To eliminate the fractions, we can multiply the entire equation by the least common multiple (LCM) of the denominators, which is 9:
9 * [(8/9)x + 4/9] = 9 * (32/3)
This results in:
8x + 4 = 96/3
Simplifying further:
8x + 4 = 32
Next, we can subtract 4 from both sides of the equation:
8x + 4 - 4 = 32 - 4
This leads to:
8x = 28
To solve for x, we divide both sides of the equation by 8:
(8x)/8 = 28/8
Simplifying further:
x = 7/2
Therefore, the solution to the equation 8/9 (x + 1/2) = 32/3 is x = 7/2.
what is the solution of the equation 8/9 (x + 1/2) = 32/3 when solving for x
x = _
1 answer
1 answer