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Answer 1 · 2018-02-15T04:22:03

#x = 3/2 " or " 1.5#

#(2x)/3 + 2/5 = (3x)/5 + 1/2#

First, we have to make all of the denominator equal. To do that we find the lowest common multiple of the denominators (which is 30).

#(10\times2x)/(10\times3) + (6\times2)/(6\times5) = (6\times3x)/(6\times5) + (15\times1)/(15\times2)#

Which is "simplified" to:

#(20x)/(30) + 12/30 = (18x)/30 + 15/30#

If we multiply both sides by 30, we get:

#20x + 12 = 18x + 15#

And if we solve this simpler equation, we then get:

#2x + 12 = 15#
#2x = 3#
#x = 3/2 " or " 1.5#

Hope that makes sense!