Solve Linear 96318B

1. **State the problem:** Solve the linear equation $$12x - 2 = 2x + 18$$. 2. **Write down the formula and rules:** To solve a linear equation, we isolate the variable $x$ by performing the same operations on both sides of the equation. 3. **Step 1: Move all terms with $x$ to one side.** $$12x - 2 = 2x + 18$$ Subtract $2x$ from both sides: $$12x - 2x - 2 = 2x - 2x + 18$$ $$10x - 2 = 18$$ 4. **Step 2: Move constant terms to the other side.** Add $2$ to both sides: $$10x - 2 + 2 = 18 + 2$$ $$10x = 20$$ 5. **Step 3: Solve for $x$ by dividing both sides by $10$.** $$\frac{\cancel{10}x}{\cancel{10}} = \frac{20}{10}$$ $$x = 2$$ 6. **Final answer:** $$x = 2$$ This matches the second answer choice.