Solve the following equations

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

b) (3 - x) (x + 2) = 0

see below

Step-by-step explanation:

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

Distribute

2x-2 = 4x+8

Subtract 2x from each side

2x-2x-2 = 4x-2x + 8

-2 = 2x+8

Subtract 8 from each side

-2-8 = 2x+8-8

-10=2x

Divide each side by 2

-10/2 = 2x/2

-5 = x

b) (3 - x) (x + 2) = 0

We can use the zero product property

3-x = 0 x+2 = 0

3-x+x=0+x x+2-2=0-2

3=x x=-2