Question

x/4 + x/2 = 2

5x+1/4 = 10x+6/9

Answer 1

(5x + 1)/4 = (10x + 6)/9

9*(5x + 1) = 4*(10x + 6)  

45x + 9 = 40x + 24

45x - 40x = 24 - 9

5x = 15  

x = 3

Answer 2

$\frac{x}{4} + \frac{x}{2} = 2 \\ \frac{x + 2x}{4} = 2 \\ \frac{3x}{4} = 2 \\ 3x = 2 \times 4 \\ x = \frac{8}{3} \\ \\ 5x + \frac{1}{4} = 10x + \frac{6}{9} \\ 5x - 10x = - \frac{1}{4} + \frac{2}{3} \\ - 5x = \frac{ - 3 + 8}{12} \\ - 5x = \frac{5}{12} \\ x = - \frac{ \frac{5}{12} }{5} \\ x = - \frac{1}{12}$