Answer:the value of x is \(\frac{7}{3}\).
Step-by-step explanation:To find the value of x in the equation \(6 - 4x = 6x - 8x - 4\), let's simplify and solve for x:
Combine like terms on both sides of the equation:
\[6 - 4x = -2x - 4\]
Move all terms involving x to one side of the equation and constants to the other side:
\[6 + 4 = -2x - 4x - 4\]
\[10 = -6x - 4\]
Isolate the term with x:
\[10 + 4 = -6x\]
\[14 = -6x\]
Now, solve for x by dividing both sides by -6:
\[x = \frac{-14}{-6} = \frac{7}{3}\]
So, the value of x is \(\frac{7}{3}\).