Question

Mixed equations. Show work please

1. -58 - 6x = 42 + 4x


2. 37 + 5x = -2x - 33


3. 27 - 9x = -6x - 39

Answer 1

Solving:

1)

-58 - 6x = 42 + 4x
Pass the numbers with letter to the left and the numbers without letter to the right, changing the signal as they change sides.
- 6x - 4x = 42 + 58
- 10x = 100 simplify by (-1)
10x = - 100

`x = (-100)/(10)`

`\boxed{x = - 10}`

2)

37 + 5x = -2x - 33
Pass the numbers with letter to the left and the numbers without letter to the right, changing the signal as they change sides.
5x + 2x = - 33 - 37
7x = - 70

`x = (-70)/(7)`

`\boxed{x = - 10}`

3)

27 - 9x = -6x - 39
Pass the numbers with letter to the left and the numbers without letter to the right, changing the signal as they change sides.
- 9x + 6x = - 39 - 27
- 3x = - 66 simplify by (-1)
3x = 66

`x = (66)/(3)`

`\boxed{x = 22}`