Question

How do you solve `2- ( 5+ \frac { 2x - 2} { 5} ) = \frac { 2} { 5} ( x - 8) - 1+ \frac { x } { 4}`?

Answer 1

`x= 32/21`

Explanation:

`2 - (5+ (2x-2)/5) =2/5(x-8) -1+x/4`

`= 2 - (25+ 2x-2)/5=2/5x-16/5 -1+x/4` Multiplying by `20`

on both sides we get `40-4(23+ 2x)=8x-64 -20+5x`

`= 40 -92+64+20 = 8x+5x+8x` or

`21 x=32 :. x= 32/21` [Ans]