Answer:
x = -4
Step-by-step explanation:
Make x variable on one side.
(x - 2)/3 = (2x + 4)/2
Simplify.
x/3 - 2/3 = 2x/2 + 2
x/3 - 2/3 = x + 2
Add 2/3 and -x on both sides.
x/3 - x = 2 + 2/3
-2/3x = 8/3
Multiply -3/2 on both sides.
x=-4
(x-2)/3 = (2x+4)/2
We can use cross products
(x-2) *2 = 3(2x+4)
Distribute
2x-4 = 6x+12
Subtract 2x from each side
2x-4-2x = 6x-2x+12
-4 = 4x+12
Subtract 12
-4-12 = 4x+12-12
-16 = 4x
Divide by 4
-16/4 = 4x/4
-4 =x
