what you solve an equation problem and its a subtracting problem like this 3x-4+5x=11 would I add or no?

Yes, in this case, you would combine like terms first, which involves addition.

Let's break it down:

1. You have the equation:  
   \[
   3x - 4 + 5x = 11
   \]
2. Combine the terms involving \(x\) (which are \(3x\) and \(5x\)):
   \[
   (3x + 5x) - 4 = 11
   \]
   This simplifies to:
   \[
   8x - 4 = 11
   \]
3. Now, to isolate \(x\), you need to get rid of the \(-4\). You can do this by **adding 4** to both sides:
   \[
   8x - 4 + 4 = 11 + 4
   \]
   Simplifying gives:
   \[
   8x = 15
   \]
4. Finally, divide both sides by 8 to solve for \(x\):
   \[
   x = \frac{15}{8}
   \]
   or approximately:
   \[
   x \approx 1.875
   \]

So, in this equation, after combining terms, you did need to **add 4** to both sides to help isolate \(x\).

Would you like more details or have any questions? 

Here are five related questions for deeper understanding:

1. How do you handle equations with variables on both sides?
2. What are like terms, and how do you identify them?
3. How do you solve equations with fractions involved?
4. What steps should you take if there are parentheses in the equation?
5. How do you check if your solution is correct?

**Tip:** Always look for opportunities to combine like terms before deciding on the next step in solving an equation.

Learn how to solve the linear equation 3x - 4 + 5x = 11 by combining like terms and using addition to isolate the variable. This step-by-step solution is perfect for students in Grades 7-8, covering algebraic principles and equation solving strategies.

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