91Ó°ÊÓ

When solving linear equations like this one, the first step often involves 'combining like terms.' In this context, like terms are terms in an equation that contain the same variable raised to the same power. For our example, we have two terms involving the variable 'x': \(-3x\) and \(-2x\). To make it easier to solve, we aim to get all the terms with 'x' on one side of the equation.

In the given problem, we can combine the terms with 'x' by adding \(3x\) to both sides of the equation. This allows us to keep our equation balanced while simplifying it. By doing so, we get:

\(11 - 3x + 3x = 19 - 2x + 3x\).

This simplification merges the like terms, transforming the equation into:

\(11 = 19 + x\).

Combining like terms is crucial because it reduces the equation to a simpler form, making subsequent steps easier to manage.

The next step is isolating the variable, which essentially means getting the variable 'x' by itself on one side of the equation. This helps you determine its value.

In our simplified equation \(11 = 19 + x\), 'x' needs to be isolated. We do this by eliminating the constant term (which does not contain 'x') from the same side as 'x'. In this case, we have a +19 on the right side of the equation.

To eliminate it, we subtract 19 from both sides of the equation:

\(11 - 19 = x\).

Performing this subtraction gives us: \