To solve the equation \( 7x + 3 = 5x + 11 \), follow these steps:

1. **Move all terms involving \(x\) to one side**:
   Subtract \(5x\) from both sides:
   \[
   7x - 5x + 3 = 11
   \]
   Simplifying:
   \[
   2x + 3 = 11
   \]

2. **Move the constant term to the other side**:
   Subtract 3 from both sides:
   \[
   2x = 11 - 3
   \]
   Simplifying:
   \[
   2x = 8
   \]

3. **Solve for \(x\)**:
   Divide both sides by 2:
   \[
   x = \frac{8}{2} = 4
   \]

So, the solution is \( x = 4 \).

Do you need further details or have any questions?

Here are 5 related questions to expand on this topic:
1. How do you solve an equation with variables on both sides if fractions are involved?
2. What happens if both sides of the equation contain the same variable with the same coefficient?
3. How would you approach solving an inequality similar to this equation?
4. Can you explain how to solve equations with parentheses and distributive property?
5. What steps would you take to solve a quadratic equation instead of a linear one?

**Tip:** Always simplify the equation as much as possible before solving for the variable.

Learn how to solve the linear equation 7x + 3 = 5x + 11 with a detailed, step-by-step solution. This problem involves moving terms, simplifying, and solving for x. Perfect for students in Grades 6-8.

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