Answer:
7(2y-x)-8
Explanation:
Given the expression:
[tex]3\mleft(x-2\mright)-2\mleft(5x-7y+1\mright)[/tex]The first step is to open the brackets:
[tex]\begin{gathered} =3(x)-3(2)-2(5x)-2(-7y)-2(1) \\ =3x-6-10x+14y-2 \end{gathered}[/tex]Next, bring the like terms together and simplify them.
[tex]\begin{gathered} =3x-10x+14y-2-6 \\ =-7x+14y-8 \\ =14y-7x-8 \\ =7(2y-x)-8 \end{gathered}[/tex]The simplified form of the expression is:
[tex]7(2y-x)-8[/tex]
