How do you solve #10 / (2x+6) + 2 / (x+3) = 1/2#?

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Answer 1 · 2015-05-13T20:43:44

Using the lowest common denominator.

#2x + 6# is the very same double of #x+3#.

So, the lowest common denominator between the two fractions is #2x+6# itself.

Summing both, we'd have #(10+4)/(2x+6) = 1/2#

Multiplying in cross, we'd have #1*(2x+6) = 2*(10+4)#

#2x + 6 = 28#
#2x = 22#
#x = 11#

:)