Question

explanation:
consider the expression (2x - 3) - (-3x + 4).
first, distribute the negative sign and rewrite the expression:
2x - 3 + 3x - 4.
then, model the polynomial.
image of blue rectangles labeled x and red rectangles labeled -1
there are no zero pairs, so the difference is 5x - 7.
self - evaluation
how did you do? rate your work on a scale of 1 to 5, with 5 as the highest score. then write a brief evaluation of your work below. note what you learned and what challenged you.
text formatting toolbar

Explanation:

Step1: Distribute the negative sign

Given the expression \((2x - 3)-(-3x + 4)\), we distribute the negative sign to the terms inside the second parentheses. This gives us \(2x-3 + 3x-4\) (because \(-(-3x)=3x\) and \(-(4)= - 4\)).

Step2: Combine like terms

Now, we combine the \(x\)-terms and the constant terms. For the \(x\)-terms: \(2x+3x = 5x\). For the constant terms: \(-3-4=-7\). So, combining these results, we get \(5x - 7\).

Answer:

The simplified form of the expression \((2x - 3)-(-3x + 4)\) is \(5x-7\).