9514 1404 393
Answer:
x = 52/9
Step-by-step explanation:
[tex]x + \dfrac{4}{3} + \dfrac{9}{8}x = \dfrac{7}{2} + \dfrac{7}{4}x\\\\24x+32+27x=84+42x\qquad\text{multiply by 24 to clear fractions}\\\\9x=52\qquad\text{subtract $42x+32$}\\\\\boxed{x=\dfrac{52}{9}}[/tex]
