Answer
x = 24
Work Step by Step
We multiply both sides by 2, 3 and 4 at the same time:
$\frac{x}{2}\times 2\times 3\times 4 + \frac{x}{3}\times 2\times 3\times 4 + \frac{x}{4}\times 2\times 3\times 4 = 26\times 2\times 3\times 4$
$12x + 8x + 6x = 624$
$26x = 624$
We divide by 26:
$x= 624\div 26 = 24$
