Certainly! Let's solve the equation step by step:
\(x - 4 = 2x + \frac{1}{3}\)
Combine like terms:
\(-4 = x + \frac{1}{3}\)
Subtract \(x\) from both sides:
\(-4 - x = \frac{1}{3}\)
Combine the constants on the left side:
\(-x - 4 = \frac{1}{3}\)
Multiply both sides by -1 to simplify:
\(x + 4 = -\frac{1}{3}\)
Subtract 4 from both sides:
\(x = -\frac{1}{3} - 4\)
Combine the constants:
\(x = -\frac{13}{3}\)
So, the solution to the equation is \(x = -\frac{13}{3}\).