Question

2 1/8 x+ 3/4 x+ 1/6 − 7/12 x+5 2/3

Answer 1

Answer:

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