Question:
If ( 2x - 3 = 7 ), what is ( x )?
If ( 2x - 3 = 7 ), what is ( x )?
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For simple linear equations, you can quickly check your answer by plugging it back into the original equation. For x=5, \(2(5) - 3 = 10 - 3 = 7\). The equation holds true, so the answer is correct.
Updated On: Oct 4, 2025
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The Correct Option is B
Solution and Explanation
Step 1: Understanding the Concept
This problem involves solving a simple linear equation to find the value of the unknown variable 'x'.
Step 2: Key Formula or Approach
The goal is to isolate 'x' on one side of the equation. We use inverse operations to achieve this. The inverse of subtraction is addition, and the inverse of multiplication is division.
Step 3: Detailed Explanation
The given equation is:
\[ 2x - 3 = 7 \] First, add 3 to both sides of the equation to cancel out the -3 on the left side:
\[ 2x - 3 + 3 = 7 + 3 \] \[ 2x = 10 \] Now, divide both sides by 2 to solve for x:
\[ \frac{2x}{2} = \frac{10}{2} \] \[ x = 5 \] Step 4: Final Answer
The value of x is 5.
This problem involves solving a simple linear equation to find the value of the unknown variable 'x'.
Step 2: Key Formula or Approach
The goal is to isolate 'x' on one side of the equation. We use inverse operations to achieve this. The inverse of subtraction is addition, and the inverse of multiplication is division.
Step 3: Detailed Explanation
The given equation is:
\[ 2x - 3 = 7 \] First, add 3 to both sides of the equation to cancel out the -3 on the left side:
\[ 2x - 3 + 3 = 7 + 3 \] \[ 2x = 10 \] Now, divide both sides by 2 to solve for x:
\[ \frac{2x}{2} = \frac{10}{2} \] \[ x = 5 \] Step 4: Final Answer
The value of x is 5.
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