Answer:
x = 7
Explanation:
We can use ratios to solve
3x-6 10
---------- = -------------------
12+(3x-6) 10+8
Simplifying
3x-6 10
---------- = -------------------
(3x+6) 18
Using cross products
18(3x-6) = 10(3x+6)
Distribute
54x - 108 = 30x +60
Subtract 30x from each side
54x-30x -108 = 60
24x -108 = 60
Add 108 to each side
24x = 60+108
24x = 168
Divide each side by 24
24x/24 = 168/24
x =7