Question 1068263
Find the greatest common denominator of all the fractions. The GCD is {{{(3x-2c)*(2x-3c)*(2x)}}}.
Multiply all sides with the greatest common denominator to get:
{{{(2*(2x-3c)*(2c))+(3(3x-2c)*(2c)) = (7*(3x-2c)*(2x-3c))
Next, to algebra by foiling out the binomial expressions. Lastly, divide and multiply common expressions.
Did you get: {{{66c^2+42x^2-117cx=0}}}?
Subtract
{{{42x^2-117cx=-66c^2}}}
From there, factor out the x and you're done!