\( 6 x-3 x-\frac{17}{10}=\frac{-3}{5} \) 6 variable. Write your solution as an integer, as a simplified fraction, or as a decimal number.

To solve the equation \( 6x - 3x - \frac{17}{10} = \frac{-3}{5} \), first combine like terms on the left side: \[ 3x - \frac{17}{10} = \frac{-3}{5} \] Next, to eliminate the fractions, convert \( \frac{-3}{5} \) into a fraction with a denominator of 10: \[ \frac{-3}{5} = \frac{-6}{10} \] Then the equation becomes: \[ 3x - \frac{17}{10} = \frac{-6}{10} \] Now, add \( \frac{17}{10} \) to both sides: \[ 3x = \frac{-6}{10} + \frac{17}{10} \] This simplifies to: \[ 3x = \frac{11}{10} \] Finally, divide both sides by 3 to solve for \( x \): \[ x = \frac{11}{10} \div 3 = \frac{11}{30} \] Therefore, the solution is: \[ x = \frac{11}{30} \]