If 5–(x – 2) = 1 over 25  what is the value of x

To solve the equation \( 5 - (x - 2) = \frac{1}{25} \), follow these steps:

1. **Simplify the left-hand side**:
   \[
   5 - (x - 2) = 5 - x + 2 = 7 - x
   \]
   So the equation becomes:
   \[
   7 - x = \frac{1}{25}
   \]

2. **Isolate \( x \)**:
   Subtract 7 from both sides:
   \[
   -x = \frac{1}{25} - 7
   \]

3. **Simplify the right-hand side**:
   Convert 7 into a fraction:
   \[
   \frac{1}{25} - 7 = \frac{1}{25} - \frac{175}{25} = \frac{1 - 175}{25} = \frac{-174}{25}
   \]
   So the equation becomes:
   \[
   -x = \frac{-174}{25}
   \]

4. **Solve for \( x \)**:
   Multiply both sides by -1:
   \[
   x = \frac{174}{25}
   \]

Thus, the value of \( x \) is \( \frac{174}{25} \) or \( 6.96 \) when expressed as a decimal.

Would you like further details or have any questions?

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Here are 5 related questions you might explore:
1. How can you check if your solution for \( x \) is correct?
2. How would the process differ if \( \frac{1}{25} \) were on the left-hand side?
3. What if the right-hand side were \( \frac{1}{10} \) instead of \( \frac{1}{25} \)?
4. How would you handle the problem if fractions were replaced with decimals from the start?
5. What if the equation involved \( x^2 \) instead of \( x \)?

**Tip**: When dealing with equations that include fractions, converting everything to a common denominator can make calculations easier.

If 5 – (x – 2) = 1/25, what is the value of x?

Learn how to solve the linear equation 5 - (x - 2) = 1/25 with a detailed, step-by-step solution. This algebra problem involves simplifying expressions, handling fractions, and isolating variables. Suitable for students in Grades 8-10.

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