1. **State the problem:** Solve the equation $$8x + 4 = 6x + 14$$. 2. **Isolate variable terms:** Subtract $$6x$$ from both sides to get $$8x - 6x + 4 = 14$$. 3. **Simplify:** $$2x + 4 = 14$$. 4. **Isolate the term with $$x$$:** Subtract 4 from both sides: $$2x + \cancel{4} - \cancel{4} = 14 - 4$$ which simplifies to $$2x = 10$$. 5. **Solve for $$x$$:** Divide both sides by 2: $$\frac{2x}{\cancel{2}} = \frac{10}{\cancel{2}}$$ which simplifies to $$x = 5$$. 6. **Final answer:** $$x = 5$$.