Question

10. 3(x - 5) - (2x + 4)find each difference

Answer 1

$3(x-5)-(2x+4)=$

Applying the PEMDAS rule, first, we need to distribute the multiplication over the subtraction in the first term, as follows:

$\begin{gathered} =3x-3\cdot5-(2x+4)= \\ =3x-15-(2x+4)= \end{gathered}$

Next, we need to eliminate the parentheses:

$=3x-15-2x-4=$

Notice that the terms inside the parentheses were positive, but the minus sign change them to negative.

Finally, we have to combine the similar terms:

$\begin{gathered} =(3x-2x)+(-15-4)= \\ =x-19 \end{gathered}$