Solve for X: (1/5)x - 3.4 + (3/10)x = (4/10)x + 6.4

To solve the given equation $\frac{1}{5}x - 3.4 + \frac{3}{10}x = \frac{4}{10}x + 6.4$, follow these steps:

Step 1: Simplify each side of the equation.
On the left side, combine like terms with $x$:

$\frac{1}{5}x + \frac{3}{10}x = \frac{2}{10}x + \frac{3}{10}x = \frac{5}{10}x$ or $\frac{1}{2}x$.

Thus, the left side becomes $\frac{1}{2}x - 3.4$.

Step 2: Combine the $x$ terms and constants.
Rewriting the equation: $\frac{1}{2}x - 3.4 = \frac{4}{10}x + 6.4$.

Step 3: Isolate the terms with $x$. Subtract $\frac{4}{10}x$ (equivalent to $0.4x$) from both sides:

$\frac{1}{2}x - 0.4x - 3.4 = 6.4$,

which simplifies the left side to:

$(0.5x - 0.4x) - 3.4 = 6.4$.

This becomes:

$0.1x - 3.4 = 6.4$.

Step 4: Isolate $x$ by adding 3.4 to both sides:

$0.1x = 6.4 + 3.4$,

which simplifies to:

$0.1x = 9.8$.

Step 5: Solve for $x$ by dividing both sides by 0.1:

$x = \frac{9.8}{0.1}$.

This simplifies to:

$x = 98$.

Therefore, the solution to the equation is $98$.