1. **State the problem:** Solve the equation $4,2x + 8 = 8 - 7x$ for $x$. 2. **Rewrite the equation:** Note that the comma in $4,2x$ likely represents a decimal point, so rewrite as $4.2x + 8 = 8 - 7x$. 3. **Isolate variable terms:** Add $7x$ to both sides to get all $x$ terms on one side: $$4.2x + 7x + 8 = 8$$ 4. **Combine like terms:** $$11.2x + 8 = 8$$ 5. **Subtract 8 from both sides:** $$11.2x + \cancel{8} - \cancel{8} = 8 - 8$$ $$11.2x = 0$$ 6. **Divide both sides by 11.2:** $$\frac{11.2x}{\cancel{11.2}} = \frac{0}{\cancel{11.2}}$$ $$x = 0$$ **Final answer:** $$x = 0$$