Simplifying the Expression (-2x + 9) - (3x - 4)
This expression involves simplifying a combination of terms with variables and constants. Let's break it down step-by-step.
1. Distribute the Negative Sign
The minus sign in front of the second set of parentheses means we multiply each term inside by -1:
(-2x + 9) - (3x - 4) = -2x + 9 - 3x + 4
2. Combine Like Terms
Now, we group together the terms with 'x' and the constant terms:
(-2x - 3x) + (9 + 4)
3. Simplify
Finally, we perform the addition and subtraction:
-5x + 13
Therefore, the simplified form of the expression (-2x + 9) - (3x - 4) is -5x + 13.