x = 6. To solve for x in the equation 2x = 12, you need to isolate x. This can be done by dividing both sides of the equation by 2. When you divide 12 by 2, you get 6, which gives you the value of x.
Understanding basic algebraic equations is essential for competitive exams, as they often include problems that require you to manipulate equations. In this case, the equation starts with 2x, which indicates that x is being multiplied by 2. To find the value of x, you reverse this operation by performing the opposite mathematical operation, which is division. Therefore, dividing both sides by 2 effectively cancels out the 2 on the left side, leaving you with x alone.
This approach not only helps you find the value of x but also reinforces the fundamental properties of equations. When you apply the same operation to both sides of an equation, you maintain the equality, which is a critical principle in algebra. Hence, understanding these basic operations and their implications is vital for success in competitive exams where algebraic manipulation is frequently tested.
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