2x - 3 = 0, solve for x
Understand the Problem
The question is asking us to solve the equation 2x - 3 = 0 for the variable x. This will involve isolating x on one side of the equation.
Answer
$x = \frac{3}{2}$
Answer for screen readers
The final answer is $x = \frac{3}{2}$.
Steps to Solve
- Add 3 to both sides
To isolate the variable $x$, add 3 to both sides of the equation:
$$ 2x - 3 + 3 = 0 + 3 $$
This simplifies to:
$$ 2x = 3 $$
- Divide both sides by 2
Next, divide both sides by 2 to solve for $x$:
$$ \frac{2x}{2} = \frac{3}{2} $$
This simplifies to:
$$ x = \frac{3}{2} $$
The final answer is $x = \frac{3}{2}$.
More Information
This solution shows that the value of $x$ which satisfies the equation $2x - 3 = 0$ is $\frac{3}{2}$. This value indicates where the line represented by the equation intersects the x-axis, which is an important concept in graphing linear equations.
Tips
- Not performing the same operation on both sides: A common mistake is forgetting to add or subtract the same number from both sides. Always remember that whatever you do to one side, you must do to the other to keep the equation balanced.
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