How do you solve #-\frac { 9} { x - 3} + 5= \frac { 8x } { x - 3}#?

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Answer 1 · 2016-11-28T08:36:56

#x=-8#

#-9/(x-3)+5=(8x)/(x-3)#

Add #(9/(x-3))# to both sides.

#5=(8x)/(x-3)+9/(x-3)#

Combine the two expressions on the right since they have a common denominator.

#5=(8x+9)/(x-3)#

Multiply both sides by #(x-3)#.

#5(x-3)=(8x+9)#

Open the brackets and simplify.

#5x-15=8x+9#

Add #15# to both sides.

#5x=8x+24#

Subtract #8x# from both sides.

#-3x=24#

Divide both sides by #3#.

#-x=8# or #x=-8#