2*x*3 + 5*x*2 − 3*x* + 6

*x* −

1

2

It looks like you're presenting two expressions. Let's first clarify and organize them to make sure they're correct and then solve step by step.

### Expression 1:
\[
2x \cdot 3 + 5x \cdot 2 - 3x + 6
\]

### Expression 2:
\[
x - \frac{1}{2}
\]

Let's simplify **Expression 1** first:

\[
2x \cdot 3 = 6x
\]
\[
5x \cdot 2 = 10x
\]

So, the expression becomes:
\[
6x + 10x - 3x + 6
\]

Now, combine the like terms:
\[
(6x + 10x - 3x) + 6 = 13x + 6
\]

Now, let's check **Expression 2**:
\[
x - \frac{1}{2}
\]

These are two distinct expressions.

Would you like me to do something specific with these two expressions, such as setting them equal or combining them?

---

**Relative Questions**:
1. Do you want to solve these expressions as an equation?
2. Should we plot these functions on a graph?
3. Would you like to factor any of the expressions?
4. Should we solve for \( x \) in terms of both expressions?
5. Would you like to check for any specific values of \( x \)?

**Tip**: When simplifying expressions, always combine like terms first to make the process smoother!

Learn how to simplify the algebraic expression 2x*3 + 5x*2 − 3x + 6 step by step by combining like terms. This problem covers fundamental algebraic concepts and is suitable for students in Grades 6-8.

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