7/12 - ? + 3/4 = 2/3

7/12 - ? + 3/4 = 2/3

7/12 + 3/4 = ? + 2/3

7/12 + 3/4 - 2/3 = ?

? = 7/12 + 3/4 - 2/3

? = 7/12 + 9/12 - 8/12

? = 8/12 = 4/6 = 2/3

x = 2/3

Step-by-step explanation:

7/12 - x + 3/4 = 2/3

The common denominator is 12

3/4 * 3/3 = 9/12

2/3 * 4/4 = 8/12

7/12 - x + 9/12 = 8/12

Combine like terms

16/12 - x = 8/12

Subtract 16/12 from each side

12/16 - 16/12 - x = 8/12-16/12

-x = - 8/12

Multiply by - 1

-1 * (-x) = - 1 * (-8/12)

x = 8/12

Divide the top and bottom by 4

x = 2/3