2 (4x + 2) = 4x - 12 (x - 1)

Let's solve this problem step-by-step.

2 (4x+2) = 4x-12 (x-1)

Step 1: Simplify both sides of the equation.

2 (4x+2) = 4x-12 (x-1)

(2) (4x) + (2) (2) = 4x + (-12) (x) + (-12) (-1) (Distribute)

8x+4=4x+-12x+12

8x+4 = (4x+-12x) + (12) (Combine Like Terms)

8x+4=-8x+12

8x+4=-8x+12

Step 2: Add 8x to both sides.

8x+4+8x=-8x+12+8x

16x+4=12

Step 3: Subtract 4 from both sides.

16x+4-4=12-4

16x=8

Step 4: Divide both sides by 16.

16x/16=8/16

So, the answer for this problem is x=1/2.

1/2

Step-by-step explanation:

8x+4=4x-12x+12

8x+4=-8x+12

16x+4=12

16x=8

x=8/16=1/2