Solve Linear Equation 11B391
1. **State the problem:** Solve the equation $$\frac{2x - 2}{7} = -6$$.
2. **Formula and rules:** To solve for $x$, first eliminate the denominator by multiplying both sides by 7.
3. **Step-by-step solution:**
Multiply both sides by 7:
$$2x - 2 = -6 \times 7$$
$$2x - 2 = -42$$
Add 2 to both sides:
$$2x = -42 + 2$$
$$2x = -40$$
Divide both sides by 2:
$$x = \frac{-40}{2}$$
$$x = -20$$
4. **Final answer:** The solution is $x = -20$.
This corresponds to option C.