1. **State the problem:** Solve the equation $$-15 = 10x - 20$$ for $x$. 2. **Add 20 to both sides** to isolate the term with $x$: $$-15 + 20 = 10x - 20 + 20$$ $$5 = 10x$$ 3. **Divide both sides by 10** to solve for $x$: $$\frac{5}{\cancel{10}} = \frac{10x}{\cancel{10}}$$ $$0.5 = x$$ 4. **Final answer:** $$x = 0.5$$ This means the value of $x$ that satisfies the equation is $0.5$. **Summary:** - Start by isolating the term with $x$ by adding or subtracting constants. - Then divide both sides by the coefficient of $x$. - Always perform the same operation on both sides to keep the equation balanced.