Question

Difficulty: EasySolving One-Variable Linear Equations
Calculate the value of xx that satisfies the given equation:
7x−14=21 7x - 14 = 21
Which of the following represents the correct value?
  1. A
    1
  2. B
    -3
  3. 5Answer
  4. D
    -5

Answer

5
The correct answer is 5. To solve the equation, the first step is to add 14 to both sides, which balances the equation and gives 7x = 35. The final step is dividing both sides by 7 to isolate the variable, resulting in x = 5.

Step-by-Step Solution

1
Add 14 to both sides of the equation.
7x=21+14 7x = 21 + 14
7x=35 7x = 35
This isolates the term with the variable by removing the constant on the left side.
2
Divide both sides by 7.
x=5 x = 5
This solves for x by reversing the multiplication by 7.

Key Concept

Solving One-Variable Linear Equations requires isolating the variable using inverse operations.
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