Question

-x + 5 = 12
x = __________
-3(-x + 4) = -9
x = __________

2(4x + 3) - 9 = 45
x = __________

Answer 1

1. x=-7

Answer 2

1. -x + 5 = 12 Subtract 5 from each side.
- 5 -5
-----------------
x = -7

2. -3(-x + 4) = -9 Distribute the -3
3x + (-12) = -9 Now you add 12 to both sides.
+12 +12
-------------------
3x = 3 Now divide by 3.
/3 /3
----------
x = 1

Answer 3

1st- add 5 to both sides then divide by -1

2nd- distribute first, add 12 to both side then divide by 3

3rd-distribute first then subtract 6-9, after that add 3 to both side and divide by 8

Answer 4

2(4x + 3) - 9 = 45 Distribute the 2

8x + 6 - 9 = 45 Then 6-9 = -3

8x - 3 = 45 Now add 3 to both sides.
+3 +3
---------------
8x = 48 dVidie by 8
/8 /8
-----------
x = 6

Answer 5

Well in 2nd question it won't be essential to distribute.....

Answer 6

well you could do it another way but distributing is what I was taught and I find it easier. Yea it might be a lot of work but its get the answer right step by step. Short-cuts are great but it might not always give the right solution to the problem. This is just my way of solving problems. I know you have your own too. So I respect your opinion.