Question

What is the value of x if 2x - 4 = 10?

• A. 7
• B. 6
• C. 5
• D. 4

Hint:

To solve equations, apply inverse operations in the reverse order of the standard order of operations (PEMDAS). Here, you undo the subtraction first, then the multiplication.

Answer 1

The Correct Option is A

Step 1: Understanding the Concept:
This is a standard two-step linear equation. The objective is to find the value of \(x\) that satisfies the equation.
Step 2: Detailed Explanation:
The given equation is:
\[ 2x - 4 = 10 \] To isolate the term containing \(x\), add 4 to both sides of the equation:
\[ 2x = 10 + 4 \] \[ 2x = 14 \] Now, to solve for \(x\), divide both sides by 2:
\[ x = \frac{14}{2} \] \[ x = 7 \] Step 3: Final Answer:
The value of \(x\) is 7. This corresponds to option (A).