Question

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

Answer 1

$\frac{3}{7} x + \frac{5}{8} - \frac{3}{14}x + \frac{1}{4} =$
$\frac{3}{7} x - \frac{3}{14} x = - \frac{5}{8} -\frac{1}{4}$

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
$\frac{3}{7} x - \frac{3}{14} x = - \frac{5}{8} - \frac{1}{4}$
$\frac{(56\div7*3)}{56} x - \frac{(56\div14*3)}{56} x = - \frac{(56\div8*5)}{56} -\frac{(56\div4*1)}{56}$
$\frac{24}{56}x - \frac{12}{56} x = - \frac{35}{56} - \frac{14}{56}$
Cancel the denominators (56)
$24x - 12x = - 35 - 14$
$12x = - 49$
$\boxed{x = - \frac{49}{12}}$