3.	Translate (in terms of x) then solve the algebraic equation: The sum of a number and 3 is subtracted from 10 the result is 5.


Let's break down the problem step by step:

1. **Identify the unknown number**: Let the unknown number be represented by \( x \).

2. **Translate the description into an equation**:
   - "The sum of a number and 3" translates to \( x + 3 \).
   - "Is subtracted from 10" means \( 10 - (x + 3) \).
   - "The result is 5" gives the equation: 
   \[
   10 - (x + 3) = 5
   \]

3. **Solve the equation**:
   \[
   10 - (x + 3) = 5
   \]
   Simplify the left side:
   \[
   10 - x - 3 = 5
   \]
   Combine like terms:
   \[
   7 - x = 5
   \]
   Subtract 7 from both sides:
   \[
   -x = -2
   \]
   Multiply both sides by \(-1\):
   \[
   x = 2
   \]

So, the unknown number is \( x = 2 \).

Would you like further details or have any questions?

Here are some related questions:
1. How do you solve equations when the variable appears on both sides?
2. What happens if the number to subtract from is smaller than the sum?
3. How do we solve an equation with multiple steps like this one?
4. Can equations have more than one solution? In what cases?
5. How would this change if the sum of the number and 3 was added to 10 instead of subtracted?

**Tip:** Always simplify both sides of an equation step by step to avoid errors.

Translate (in terms of x) then solve the algebraic equation: The sum of a number and 3 is subtracted from 10 the result is 5.

Explore how to translate and solve the algebraic equation where the sum of a number and 3 is subtracted from 10 and the result equals 5. This step-by-step solution covers core algebra concepts, including simplification and solving linear equations, ideal for Grades 6-8 students.

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