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

1 Answer
Aug 13, 2017

#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#