Find the Common Factor in 2ax+3x: Algebraic Expression Simplification

To solve this problem, we'll follow these steps:

• Step 1: Identify any common factors in the terms provided.
• Step 2: Factor the expression by extracting the common factor.

Now, let's work through each step:
Step 1: The expression given is $2ax + 3x$. We observe that both terms have a common factor of $x$.
Step 2: We factor out $x$ from each term, which results in $x(2a + 3)$, because:

• $2ax$ divided by $x$ results in $2a$.
• $3x$ divided by $x$ results in $3$.

Therefore, the expression $2ax + 3x$ can be factored as $x(2a+3)$.