Question 509582
{{{(3n-2)/5 = 7/10}}}
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cross multiply to set up the solution
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{{{10(3n-2) = 5*7}}}
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{{{30n -20 = 35}}}
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{{{30n = 55}}}
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{{{n = 55/30}}}
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{{{n = (5*11)/(5*6)}}}
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{{{n = 11/6}}}
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Check this answer by plugging this value back into the equation.
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{{{(3*11/6-2)/5 = 7/10}}}
{{{(11/2 - 4/2) /5 = what}}}
{{{(7/2)/5 = (7/2)*(1/5) = 7/10}}}
Correct
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{{{n = 11/6}}}
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Done.