8. 6 - 4x = 6x - 8x + 2

X=

x = 2

Step-by-step explanation:

Solve for x:

6 - 4 x = 2 - 2 x

Add 2 x to both sides:

2 x - 4 x + 6 = (2 x - 2 x) + 2

2 x - 2 x = 0:

2 x - 4 x + 6 = 2

2 x - 4 x = - 2 x:

-2 x + 6 = 2

Subtract 6 from both sides:

(6 - 6) - 2 x = 2 - 6

6 - 6 = 0:

-2 x = 2 - 6

2 - 6 = - 4:

-2 x = - 4

Divide both sides of - 2 x = - 4 by - 2:

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

(-2) / (-2) = 1:

x = (-4) / (-2)

The gcd of - 4 and - 2 is - 2, so (-4) / (-2) = (-2*2) / (-2*1) = (-2) / (-2) * 2 = 2:

Answer: x = 2