1. **State the problem:** Solve the equation $$4x + 18 = 6x$$ for $$x$$. 2. **Write down the equation:** $$4x + 18 = 6x$$ 3. **Isolate the variable terms on one side:** Subtract $$4x$$ from both sides: $$4x + 18 - \cancel{4x} = 6x - \cancel{4x}$$ which simplifies to $$18 = 2x$$ 4. **Solve for $$x$$:** Divide both sides by 2: $$\frac{18}{\cancel{2}} = \frac{2x}{\cancel{2}}$$ which simplifies to $$9 = x$$ 5. **Final answer:** $$x = 9$$