2 1/8 x + 3/4 x + 1/6 - 7/12 x+5 2/3

x = (-28) / 11

Step-by-step explanation:

Solve for x:

(55 x) / 24 + 35/6 = 0

Put each term in (55 x) / 24 + 35/6 over the common denominator 24: (55 x) / 24 + 35/6 = (55 x) / 24 + 140/24:

(55 x) / 24 + 140/24 = 0

(55 x) / 24 + 140/24 = (55 x + 140) / 24:

(55 x + 140) / 24 = 0

Multiply both sides of (55 x + 140) / 24 = 0 by 24:

(24 (55 x + 140)) / 24 = 24*0

(24 (55 x + 140)) / 24 = 24/24 * (55 x + 140) = 55 x + 140:

55 x + 140 = 24*0

0*24 = 0:

55 x + 140 = 0

Subtract 140 from both sides:

55 x + (140 - 140) = - 140

140 - 140 = 0:

55 x = - 140

Divide both sides of 55 x = - 140 by 55:

(55 x) / 55 = (-140) / 55

55/55 = 1:

x = (-140) / 55

The gcd of 140 and 55 is 5, so (-140) / 55 = ( - (5*28)) / (5*11) = 5/5 * (-28) / 11 = (-28) / 11:

Answer: x = (-28) / 11