Let's solve the equation:

\[
5 - 2x = 3
\]

### Step-by-Step Solution:

1. Start by subtracting 5 from both sides to isolate the term with \(x\):

\[
-2x = 3 - 5
\]

\[
-2x = -2
\]

2. Now, divide both sides by \(-2\) to solve for \(x\):

\[
x = \frac{-2}{-2} = 1
\]

### Final Answer:

\[
x = 1
\]

Would you like further clarification or details on any step?

Here are five related questions to expand your understanding:

1. What happens if the equation was \(5 + 2x = 3\)?
2. How do you solve \(7 - 3x = 4\)?
3. What is the effect of dividing both sides of an equation by a negative number?
4. Can you explain how to handle equations with fractions, like \(\frac{5}{2} - x = 3\)?
5. How would you graph the solution \(x = 1\) on a number line?

**Tip:** Always perform the same operation on both sides of the equation to maintain balance.

Learn how to solve the linear equation 5 - 2x = 3 step-by-step. This problem involves basic algebraic concepts, such as isolating variables and applying the balancing principle. Ideal for students in Grades 6-8 looking to improve their skills in solving linear equations.

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