To find the value of \( x \) in the equation \( 3x + 7 = x + 19 \), we can follow these steps:

1. First, subtract \( x \) from both sides of the equation to collect the \( x \)-terms on one side:
   \[
   3x - x + 7 = 19
   \]
   Simplifying, we get:
   \[
   2x + 7 = 19
   \]

2. Next, subtract 7 from both sides to isolate the \( 2x \) term:
   \[
   2x = 19 - 7
   \]
   Simplifying:
   \[
   2x = 12
   \]

3. Finally, divide both sides by 2 to solve for \( x \):
   \[
   x = \frac{12}{2} = 6
   \]

So, the value of \( x \) is \( 6 \).

Would you like further explanation or more details on this?

Here are 5 related questions you can explore:
1. How do you solve for \( x \) if the equation includes fractions?
2. How can you solve an equation if there are variables on both sides?
3. What happens when an equation has no solution?
4. How do you check if a solution is correct in an equation?
5. How do you solve equations with exponents?

**Tip:** Always simplify the equation step by step to make the solution process easier!

Find out how to solve the linear equation 3x + 7 = x + 19. This problem teaches you how to simplify terms and solve for x using basic algebraic steps. Suitable for students in Grades 6-8.

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