Verified answer

1. Multiply it out.

-2x-8=1-x/2

2. Group x's together.

-3x/2=9

3. Solve for x

x=-6

-2x-8 = 1-x/2

multiply both sides by 2

-4x-16 = 2-x

swap sides

-2-16 = 4x-x

-18 = 3x

x = -6

You could multiply out by distributive property:

-2x - 8 = 1 - ½ x then add opposites:

+2x - 1.. -1 + 2x

-----------------------

-9 = 3/2 x and now multiply both sides by 2/3

-18/3 = x = -6

-2(x+4)=½(2-x)

-2x-8 = 1-x/2

-4x-16 = 2-x

-2-16 = 4x-x

-18 = 3x

x = -6

- 2(x + 4) = 1/2(2 - x)

- 2x - 8 = 1 - 1/2x

- 1 1/2x = 9

- (2/3)3/2x = (2/3)9

- x = 6

or

x = - 6.