Simplify 2x2−x−3−2x2+5x−32𝑥2−𝑥−3−2𝑥2+5𝑥−3.

Let's simplify the expression:

\[
2x^2 - x - 3 - (2x^2 + 5x - 3).
\]

### Step 1: Distribute the negative sign
Distribute the negative sign across the terms inside the parentheses:

\[
2x^2 - x - 3 - 2x^2 - 5x + 3.
\]

### Step 2: Combine like terms
Now, combine the like terms:

1. Combine the \(x^2\) terms: \(2x^2 - 2x^2 = 0\).
2. Combine the \(x\) terms: \(-x - 5x = -6x\).
3. Combine the constant terms: \(-3 + 3 = 0\).

So the expression simplifies to:

\[
-6x.
\]

### Final Answer
The simplified expression is:

\[
-6x.
\]

Would you like more details or have any questions?

Here are some additional related problems:
1. Simplify \(4x^2 + 3x - 5 - (2x^2 - x + 2)\).
2. Simplify \(3x^2 - 2x + 4 - (x^2 + x - 6)\).
3. Factor \(2x^2 - 6x + 4\).
4. Solve the equation \(2x^2 - x - 3 = 0\).
5. Simplify \((3x - 1) - (2x + 4)\).
6. Expand and simplify \((x + 2)(x - 3) - (x - 1)(x + 1)\).
7. Simplify \(4x^2 - 9 - (2x - 3)^2\).
8. Solve the equation \(-6x = 12\).

**Tip:** When simplifying expressions involving subtraction, always distribute the negative sign carefully to avoid mistakes.

Learn how to simplify the expression 2x^2 - x - 3 - (2x^2 + 5x - 3) step-by-step. This problem involves algebraic simplification and combining like terms. Suitable for students in Grades 7-9.

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