To solve this equation, we first need to distribute the 1 1/3 (which is 4/3) to the expression inside the parentheses:
4/3 * (1/3 - x) = 8/27
Next, we multiply 4/3 by 1/3 and by -x:
4/9 - 4/3x = 8/27
Now, we need to combine the constants on one side and the terms with x on the other side:
4/9 = 8/27 + 4/3x
To simplify, we need to find a common denominator for 27 and 3, which is 27:
4/9 = 8/27 + 36/27x4/9 = 8/27 + 36x/27
Now, we can combine the fractions:
4/9 = (8 + 36x)/27
To solve for x, we can cross multiply:
4 27 = 9 (8 + 36x)108 = 72 + 324x
Subtract 72 from both sides:
36 = 324x
Divide by 324:
36/324 = x
x = 1/9
Therefore, the solution to the equation is x = 1/9.
To solve this equation, we first need to distribute the 1 1/3 (which is 4/3) to the expression inside the parentheses:
4/3 * (1/3 - x) = 8/27
Next, we multiply 4/3 by 1/3 and by -x:
4/9 - 4/3x = 8/27
Now, we need to combine the constants on one side and the terms with x on the other side:
4/9 = 8/27 + 4/3x
To simplify, we need to find a common denominator for 27 and 3, which is 27:
4/9 = 8/27 + 36/27x
4/9 = 8/27 + 36x/27
Now, we can combine the fractions:
4/9 = (8 + 36x)/27
To solve for x, we can cross multiply:
4 27 = 9 (8 + 36x)
108 = 72 + 324x
Subtract 72 from both sides:
36 = 324x
Divide by 324:
36/324 = x
x = 1/9
Therefore, the solution to the equation is x = 1/9.