X-2/3 = 2x+4/2

Show answer

x=-4

Step-by-step explanation:

(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

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