To solve the equation $5x - 11 = 19 - x$, let's follow these steps:

1. Combine like terms: First, we'll move all the terms involving $x$ to one side and the constant terms to the other side.

   $5x + x = 19 + 11$

   This simplifies to:

   $6x = 30$

2. Solve for $x$: Now, divide both sides by 6 to isolate $x$.

   $x = \frac{30}{6}$

   Which simplifies to:

   $x = 5$

So, the solution to the equation $5x - 11 = 19 - x$ is $x = 5$.

Would you like more details or have any questions?

Related Questions:

1. How would you solve the equation $7x - 15 = 3x + 9$?
2. What happens if the equation involves fractions, like $\frac{3}{2}x - 4 = \frac{5}{3}x + 2$?
3. How can you solve a quadratic equation, such as $x^2 - 5x + 6 = 0$?
4. What is the method to solve a system of linear equations, like $2x + 3y = 7$ and $4x - y = 5$?
5. Can we apply the same approach to solve inequalities, such as $5x - 11 > 19 - x$?

Tip:

Always double-check your solution by substituting it back into the original equation to ensure both sides are equal.