Solve for x " 1/6x+2/3x+4=x+2

x = 12

Step-by-step explanation:

Solve for x:

(5 x) / 6 + 4 = x + 2

Put each term in (5 x) / 6 + 4 over the common denominator 6: (5 x) / 6 + 4 = (5 x) / 6 + 24/6:

(5 x) / 6 + 24/6 = x + 2

(5 x) / 6 + 24/6 = (5 x + 24) / 6:

(5 x + 24) / 6 = x + 2

Multiply both sides by 6:

(6 (5 x + 24)) / 6 = 6 (x + 2)

(6 (5 x + 24)) / 6 = 6/6 * (5 x + 24) = 5 x + 24:

5 x + 24 = 6 (x + 2)

Expand out terms of the right hand side:

5 x + 24 = 6 x + 12

Subtract 6 x from both sides:

(5 x - 6 x) + 24 = (6 x - 6 x) + 12

5 x - 6 x = - x:

-x + 24 = (6 x - 6 x) + 12

6 x - 6 x = 0:

24 - x = 12

Subtract 24 from both sides:

(24 - 24) - x = 12 - 24

24 - 24 = 0:

-x = 12 - 24

12 - 24 = - 12:

-x = - 12

Multiply both sides of - x = - 12 by - 1:

(-x) / (-1) = 12

(-1) / (-1) = 1:

Answer: x = 12