To find the values of \( x \) that make the equation \( 3x - 4 = x - 5x \) true, you can start by simplifying the equation:
Combine like terms on the right side:
\[ 3x - 4 = -4x \]
Add \( 4x \) to both sides to isolate \( x \) on one side of the equation:
\[ 3x + 4x - 4 = 0 \]
Combine the \( x \) terms:
\[ 7x - 4 = 0 \]
Now, add 4 to both sides:
\[ 7x = 4 \]
Finally, divide by 7 to solve for \( x \):
\[ x = \frac{4}{7} \]
So, the solution to the equation is \( x = \frac{4}{7} \).