How do you solve #7= \frac { 5} { x + 4}#?

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Answer 1 · 2017-06-21T14:38:53

#x = -23/7#

1. Multiply both sides by #(x+4)#.

#7 = (5)/(x+4)#

#(x+4)(7) = ((5)/cancel(x+4))*cancel((x+4))#

#(x+4)(7) = 5#

2. Distribute the 7.

#7x + 28 = 5#

3. Subtract 28 from both sides.

#7x + 28 - color(blue)28 = 5 - color(blue)28#
#7x = -23#

4. Divide both sides by 7.

#(7x)/7 = (-23)/7#

#x = -23/7#

That's your final answer!