Question

3/7 x + 5/8 - 3/14 x + 1/4

Answer 1

`(3)/(7) x + (5)/(8) - (3)/(14)x + (1)/(4) =`

`(3)/(7) x - (3)/(14) x = - (5)/(8) -(1)/(4)`

MMC (7,8,14,4)

7,8,14,4 | 2
7, 4, 7, 2| 2
7, 2, 7, 1| 2
7, 1, 7, 1| 7
1, 1, 1, 1____ 2*2*2*7 = 56

Solving

`(3)/(7) x - (3)/(14) x = - (5)/(8) - (1)/(4)`

`((56/7*3))/(56) x - ((56/14*3))/(56) x = - ((56/8*5))/(56) -((56/4*1))/(56)`

`(24)/(56)x - (12)/(56) x = - (35)/(56) - (14)/(56)`
Cancel the denominators (56)

`24x - 12x = - 35 - 14`

`12x = - 49`

`\boxed{x = - (49)/(12)}`