How do you solve #-\frac{x}{x + 4} = \frac{3}{2}#?

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Answer 1 · 2016-09-16T07:11:25

#x = - (12) / (5)#

We have: #- (x) / (x + 4) = (3) / (2)#

First, let's cross multiply:

#=> (- x) (2) = (3) (x + 4)#

Then, let's expand the parentheses:

#=> - 2 x = 3 x + 12#

Now, let's collect the terms containing #x# on the left-hand side of the equation:

#=> - 2 x - 3 x = 12#

#=> - 5 x = 12#

Finally, to solve for #x#, let's divide both sides by #- 5#:

#=> x = - (12) / (5)#

Therefore, the solution to the equation is #x = - (12) / (5)#.

Answer 2 · 2016-09-16T07:14:42

#x=-12/5#

#-(x)/(x+4)=3/2#

#3(x+4)=-2x#
#3x+12=-2x#
#3x+2x=-12#
#5x=-12#

#x=-12/5#