1. **State the problem:** Solve the equation $x = 3x - 7$ for $x$. 2. **Write down the equation:** $$x = 3x - 7$$ 3. **Isolate the variable:** To solve for $x$, get all $x$ terms on one side. Subtract $3x$ from both sides: $$x - 3x = 3x - 7 - 3x$$ which simplifies to $$-2x = -7$$ 4. **Solve for $x$:** Divide both sides by $-2$: $$x = \frac{-7}{-2} = \frac{7}{2}$$ 5. **Final answer:** $$x = \frac{7}{2}$$ This means the value of $x$ that satisfies the equation is $3.5$.