Question

find (3x - 4) - (x - 5).

Explanation:

Step1: Distribute the negative sign

We have the expression \((3x - 4)-(x - 5)\). When we distribute the negative sign to the second parentheses, we get \(3x - 4 - x + 5\) (because \(-(x - 5)=-x + 5\)).

Step2: Combine like terms

Now, combine the \(x\)-terms and the constant terms. For the \(x\)-terms: \(3x - x = 2x\). For the constant terms: \(-4 + 5 = 1\). So putting them together, we have \(2x+1\).

Answer:

\(2x + 1\)