To solve the equation \(2x + 6 = 2(x + 3)\), follow these steps:
1. Start with the given equation:
[tex]\[
2x + 6 = 2(x + 3)
\][/tex]
2. Distribute the right-hand side:
[tex]\[
2x + 6 = 2x + 6
\][/tex]
3. Subtract \(2x\) from both sides:
[tex]\[
2x + 6 - 2x = 2x + 6 - 2x
\][/tex]
4. Simplify the equation:
[tex]\[
6 = 6
\][/tex]
The result \(6 = 6\) is a true statement.
This indicates that the original equation is an identity, meaning that it holds for all possible values of \(x\).
Thus, the solution to the equation is:
[tex]\[
\text{All real numbers}
\][/tex]
