Given equation is
x
--------- - 2 = 3 ( x + 2)
3
This is an equation .
The first term at left side of the equation is in fraction .
First step is to get rid of the fraction .
We have 3 in denominator . To get rid of fraction , we multiply the whole
equation by 3 .
We multiply each term by 3 .
x * 3
----- - 2 * 3 = 3 * 3 ( x + 2 )
3
Simplifying we get
x - 6 = 9 ( x + 2 )
Distribute 9 inside the parenthesis , we get
x - 6 = 9 x + 9 * 2
x - 6 = 9 x + 18
Now we need to combine like terms .
Adding 6 both sides we get
x - 6 + 6 = 9 x + 18 + 6
x = 9 x + 24
Subtract 9 x from both sides , we get
x - 9 x = 24
- 8 x = 24
Divide by - 8 , we get
x = - 24/8
x = - 3 .
Thus the solution of the given equation is x = - 3 .