Final Answer:
In order to isolate the variable x, subtracting 2 from both sides of the equation 12 = -2x is the next step. This simplification leads to the solution x = -5 through the fundamental principles of algebra.Thus the correct option is: b) Subtract -2 from both sides of the equation.
Step-by-step explanation:
In the given linear equation, 12 = -2x, the next step to solve for x is to isolate x by getting rid of the constant term on the right side of the equation. To do this, you need to subtract 2 from both sides. The equation becomes 12 - 2 = -2x - 2. Simplifying further, 10 = -2x. Now, to solve for x, divide both sides by -2. The final solution is x = -5.
The equation 12 = -2x is manipulated by subtracting 2 from both sides. This operation ensures that the constant term on the right side is eliminated, bringing us a step closer to isolating x. The subtraction yields 10 = -2x, making it easier to solve for x.
By dividing both sides by -2, we find that x = -5. This process follows the fundamental principles of algebra, where maintaining the equality of the equation is essential. Each step aims to simplify the equation and isolate the variable, allowing for a clear and accurate solution to the linear equation.Thus the correct option is: b) Subtract -2 from both sides of the equation.