Question

(-1/2x+6/7)-(7/2x-4/7)

Answer 1

`(-(1)/(2)x+(6)/(7))-((7)/(2)x-(4)/(7))\\\\=-(1)/(2)x+(6)/(7)-(7)/(2)x+(4)/(7)\\\\=-(1)/(2)x-(7)/(2)x+(6)/(7)+(4)/(7)\\\\=(-1-7)/(2)x+(6+4)/(7)\\\\=(-8)/(2)x+(10)/(7)\\\\=\boxed{\bf{-4x + (10)/(7)}}`

Answer 2

Distribute the Negative sign

= -1/2x+6/7 +-1 ( 7/2 x - 4/7)

= -1/2 x + 6/7 +-1(7/2 x ) +-1 (-4/7)

= -1/2 x +6/7 + -7/2 x +4/7

Combine like terms

-1/2 x +6/7 + -7/2 x +4/7

( -1/2 x + -7/2 x ) + ( 6/7 +4/7 )

= -4x + 10/7