3/5x - 1/4x + 14 = 7/10x
First add the fractions of x on the left side by getting a common denominator.
3/5=12/20 and 1/4=5/20 so
12x/20 - 5x/20 + 14 = 7x/10 then subtract
7x/20 + 14 = 7x/10 then subtract 14 from both sides and subtract 7x/10 from both sides
7x/20 - 7x/10 = -14
7/10 = 14/20 which you can prove by multiplying 7/10 by 2/2, and 2/2 is really just 1 and anything times 1 is itself. So
7x/20 -14x/20 = -14
-7x/20 = -14
then multiply both sides by -20/7 to isolate the x and get
x = 40
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