2x + 1 = 5
Understand the Problem
The question is asking to solve the equation 2x + 1 = 5 for the variable x. This involves isolating x on one side of the equation to find its value.
Answer
The solution is \( x = 2 \).
Answer for screen readers
The value of ( x ) is ( 2 ).
Steps to Solve
- Subtract 1 from both sides
To begin isolating ( x ), subtract 1 from both sides of the equation:
$$ 2x + 1 - 1 = 5 - 1 $$
This simplifies to:
$$ 2x = 4 $$
- Divide both sides by 2
Next, to solve for ( x ), divide both sides of the equation by 2:
$$ \frac{2x}{2} = \frac{4}{2} $$
This simplifies to:
$$ x = 2 $$
The value of ( x ) is ( 2 ).
More Information
The equation ( 2x + 1 = 5 ) is a linear equation. After solving, we find that ( x = 2 ). This means that if you substitute 2 back into the original equation, the left side will equal 5, confirming our solution.
Tips
- A common mistake is to incorrectly handle the subtraction or division, such as forgetting to perform the same operation on both sides of the equation. Always ensure you're balancing the equation.
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