Solve for X: 17.3 - 7/9x + 2/18x = 3/9x - 5.8 Linear Equation

Let's solve the equation $17.3 - \frac{7}{9}x + \frac{2}{18}x = \frac{3}{9}x - 5.8$ step-by-step.

First, simplify the equation by combining the $x$-terms on both sides:

The term $\frac{2}{18}x$ can be simplified to $\frac{1}{9}x$. Hence, the equation becomes:

$17.3 - \frac{7}{9}x + \frac{1}{9}x = \frac{3}{9}x - 5.8$.

Combine the terms involving $x$ on the left side:

$\frac{7}{9}x - \frac{1}{9}x = -\frac{6}{9}x = -\frac{2}{3}x$. So, the equation transforms into:

$17.3 - \frac{2}{3}x = \frac{1}{3}x - 5.8$.

To isolate $x$, first move all the terms involving $x$ to one side of the equation and the constant terms to the other side. Add $\frac{2}{3}x$ to both sides:

$17.3 = \frac{1}{3}x + \frac{2}{3}x - 5.8$.

Combine the $x$-terms on the right:

$17.3 = x - 5.8$.

To solve for $x$, add $5.8$ to both sides:

$17.3 + 5.8 = x$.

Perform the addition:

$23.1 = x$.

Therefore, the solution to the equation is $\boxed{23.1}$.