Question 258954
3(x+6)=5(x-2) 

opening the paranthesis..

3(x) + 3(6) = 5(x) - 5(2)

3x + 18 = 5x - 10

Substracting 3x from both sides..

3x + 18 - 3x = 5x - 10 - 3x

18 = 2x - 10

Adding 10 on both sides..

18 + 10 = 2x - 10 + 10

28 = 2x

Dividing both sides by 2

28/2 = 2x/2

14 = x

So..
x = 14