Question

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

Answer 1

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

Answer 2

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