Question

11/18x-2/9=5/12x+1 1/3​

Answer 1

11/8x-2/9=5/12x+4/3
22x-8=15x+48
7x=56
X=8

Answer 2

To solve the equation (11/18)x - (2/9) = (5/12)x + (1 1/3), you'll want to isolate the variable x. Here's how you can do it step by step:

1. First, deal with the mixed number on the right side, 1 1/3. Convert it to an improper fraction:

   1 1/3 = (3 * 1 + 1) / 3 = 4/3

2. Now, your equation is:

   (11/18)x - (2/9) = (5/12)x + 4/3

3. To get rid of the fractions, you can multiply both sides of the equation by the least common multiple (LCM) of the denominators, which is 36. Multiply every term by 36:

   36[(11/18)x - (2/9)] = 36[(5/12)x + 4/3]

4. This simplifies the equation to:

   2(11x) - 4(2x) = 3(5x) + 4(12)

5. Now, distribute on both sides:

   22x - 8x = 15x + 48

6. Next, move all the terms containing x to one side of the equation and the constants to the other side. You can do this by subtracting 15x from both sides:

   22x - 8x - 15x = 48

7. Combine like terms:

   -1x = 48

8. Finally, solve for x by dividing both sides by -1:

   x = -48

So, the solution to the equation is x = -48.