Question

What’s the least common multiple of the denominators of 2/3x+1/6=-3/4x+1

Answer 1

30/51 .................

Answer 2

x = 30/51

Explanation:

`(2)/(3) x + (1)/(6) = - (3)/(4) x + 1 \\ (2)/(3) x + (3)/(4) x = 1 - (1)/(6) \\ (8)/(12) x + (9)/(12)x = (6)/(6) - (1)/(6) \\ (17)/(12) x = (5)/(6) \\ x = (5)/(6) * (12)/(17) \\ x = (60)/(102) \\ x = (30)/(51)`