Question

How do you evaluate `-\frac { 2} { w + 5} = - \frac { 3} { 2w + 10} + 4`?

Answer 1

`w=color(red)(-41/8)`

Explanation:

Given
`color(white)("XXX")-2/(w+5)=-3/(2w+10)+4`

`rarrcolor(white)("XXX")-4/(2(w+5))=-3/(2(w+5))+(4xx2(w+5))/(2(w+5))`

`rarrcolor(white)("XXX")-4 = -3 +8w+40`

`rarrcolor(white)("XXX")-41=8w`

`rarrcolor(white)("XXX")8w=-41`

`rarrcolor(white)("XXX")w=-41/8`