What is the value of x in the equation 2x + 3 = 1?
Understand the Problem
The question is asking us to solve the equation 2x + 3 = 1 for the variable x. To solve it, we need to isolate x by subtracting 3 from both sides and then dividing by 2.
Answer
$x = -1$
Answer for screen readers
The solution to the equation is $x = -1$.
Steps to Solve
- Subtract 3 from both sides
To isolate the term with $x$, we subtract 3 from both sides of the equation:
$$ 2x + 3 - 3 = 1 - 3 $$
This simplifies to:
$$ 2x = -2 $$
- Divide by 2
Now, we divide both sides by 2 to solve for $x$:
$$ \frac{2x}{2} = \frac{-2}{2} $$
This simplifies to:
$$ x = -1 $$
The solution to the equation is $x = -1$.
More Information
This solution tells us that when we substitute $x = -1$ back into the original equation $2x + 3 = 1$, both sides become equal, confirming that this is indeed the correct solution.
Tips
A common mistake is forgetting to perform the same operation on both sides of the equation. This can lead to incorrect results. Always double-check that operations are applied equally.
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