7/2x - 5/3x= 11
simplify the right side by subtracting using a common denominator
\(\displaystyle \L \frac{7(3x)\,-\,5(2x)}{2x\, \cdot \,3x}\)
factor out an x from the numerator:
\(\displaystyle \L \frac{x(7(3)\,-\,5(2))}{2x\, \cdot \,3x}\)
\(\displaystyle \L \frac{x(21\,-\,10)}{2x\, \cdot \,3x}\)
\(\displaystyle \L \frac{x(11)}{2x\, \cdot \,3x}\)
remove an x from the numerator and 1 term from the denominator:
\(\displaystyle \L \frac{(11)}{2x\, \cdot \,3}\)
simplify:
\(\displaystyle \L \frac{11}{6x}\)
Now you have
\(\displaystyle \L \frac{11}{6x} = 11\) Solve for x