Subjects algebra

Solve Linear Equation 11B391

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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.