Question

X/6 + 5 equals to X/3+X/4. solve this equation​

Answer 1

(x/6) + 5 =(x/3) + (x/4)

(x/6) + 5 = (4x + 3x)/12

(x/6) + 5 = 7x/12

12x/6 + 60 = 7x

2x + 60 = 7x

5x = 60

hence, x = 12

Answer 2

Answer:

$= > \frac{x}{6} + 5 = \frac{x}{3} + \frac{x}{4} \\ \\ = > \frac{x}{6} + (5 \times \frac{6}{6} ) = ( \frac{x}{3} \times \frac{4}{4} ) + ( \frac{x}{4} \times \frac{3}{3} )\\ \\ = > \frac{x}{6} + \frac{30}{6} = \frac{4x}{12} + \frac{3x}{12} \\ \\ = > \frac{x + 30}{6} = \frac{4x + 3x}{12} \\ \\ = > \frac{x + 30}{6} = \frac{7x}{12} \\ \\ = > \frac{(x + 30)}{6} \times 12 = 7x \\ \\ = > (x + 30) \times 2 = 7x \\ \\ = > 2x + 60 = 7x \\ \\ = > 7x - 2x = 60 \\ \\ = > 5x = 60 \\ \\ = > x = \frac{60}{5} \\ \\ = > x = 12$