First you would add 5/6 and 3/6 which would be 8/6. Next you would convert the improper fraction (8/6) into a mixed number which would be 1 2/6. Now just add 7 and 2 which is 9. Finally you would add the whole number and the mixed number. So your answer is 10 2/6 unless the instructions say to simplify then your answer would be 10 1/3.
The number is -13.
In order to find this, we first need to make each part of the statement into a mathematical statement.
Twice the difference of a number and 2.
2(x - 2)
Three times the sum of the number and 3
3(x + 3)
Now we can set them equal to each other and solve.
2(x - 2) = 3(x + 3) ----> Distribute
2x - 4 = 3x + 9 ------> Subtract 2x from both sides
-4 = x + 9 -----> Subtract 9 from both sides
-13 = x
