Question

1. describe how you know whether an equation will be true for all values of x or true for no values of x.

Explanation:

First, simplify the equation fully by combining like terms and isolating variable terms on one side and constants on the other.

1. If the simplified form results in a true numerical statement (e.g., $5=5$), the equation is true for all values of $x$.
2. If the simplified form results in a false numerical statement (e.g., $3=7$), the equation is true for no values of $x$.

Answer:

To determine this:

1. Simplify the equation completely, combining like terms and rearranging terms to group variables and constants separately.
2. If you end up with a true statement with no $x$ (e.g., $4=4$), the equation is true for all $x$.
3. If you end up with a false statement with no $x$ (e.g., $2=5$), the equation is true for no $x$.