Solve for x: 5 = (x / 2) - 17. Simplify your answer as much as possible.
Understand the Problem
The question is asking to solve the equation for x, specifically the equation 5 = (x/2) - 17, and simplify the final answer as much as possible.
Answer
The value of $x$ is $44$.
Answer for screen readers
$$ x = 44 $$
Steps to Solve
- Add 17 to both sides
To start solving for $x$, we can eliminate the $-17$ on the right side by adding $17$ to both sides of the equation:
$$ 5 + 17 = \frac{x}{2} - 17 + 17 $$
This simplifies to:
$$ 22 = \frac{x}{2} $$
- Multiply both sides by 2
Next, to isolate $x$, we multiply both sides of the equation by 2:
$$ 2 \times 22 = 2 \times \frac{x}{2} $$
This simplifies to:
$$ 44 = x $$
- Final answer format
We can write the final answer simply as:
$$ x = 44 $$
$$ x = 44 $$
More Information
The value $x = 44$ indicates the solution to the equation where $5 = \frac{x}{2} - 17$.
Tips
- Not isolating the variable correctly: Make sure to perform the same operation on both sides of the equation to maintain equality.
- Forgetting to simplify: Always combine like terms or simplify fractions as necessary.
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