Question

Simplify:3(x — 2) —2(5x —7y + 1)

Answer 1

7(2y-x)-8

Explanation:

Given the expression:

`3\mleft(x-2\mright)-2\mleft(5x-7y+1\mright)`

The first step is to open the brackets:

`\begin{gathered} =3(x)-3(2)-2(5x)-2(-7y)-2(1) \\ =3x-6-10x+14y-2 \end{gathered}`

Next, bring the like terms together and simplify them.

`\begin{gathered} =3x-10x+14y-2-6 \\ =-7x+14y-8 \\ =14y-7x-8 \\ =7(2y-x)-8 \end{gathered}`

The simplified form of the expression is:

`7(2y-x)-8`