Solve for X in 3x - 1/9 = 8/9: Fraction Equation Solution

To find the value of $x$ in the given equation, we will perform the following steps:

• Step 1: Start with the equation given: $3x - \frac{1}{9} = \frac{8}{9}$.
• Step 2: To eliminate the constant $-\frac{1}{9}$ on the left, add $\frac{1}{9}$ to both sides:

$3x - \frac{1}{9} + \frac{1}{9} = \frac{8}{9} + \frac{1}{9}$

This simplifies to:

$3x = \frac{8}{9} + \frac{1}{9}$

Combine the fractions on the right side:

$\frac{8}{9} + \frac{1}{9} = \frac{9}{9} = 1$

So, now we have:

$3x = 1$

• Step 3: Divide both sides by 3 to solve for $x$:

$x = \frac{1}{3}$

Thus, the solution to the equation is:

$x = \frac{1}{3}$