Question 846927
your solution is in the attached picture.
the steps involved are shown below that.
<img src = "http://theo.x10hosting.com/2014/feb284.jpg" alt = "$$$" </>


number 1 shows the original equation.


number 2 multiplies both sides of the equation by (3x + 6).  this removes the denominator on the left side of the equation and places it in the numerator on the right side of the equation.


number 3 simplifies the right side of the equation by performing the indicated multiplication.


number 4 subtracts 12x from both sides of the equation.


number 5 shows the result of the operation in number 4.


number 6 subtracts 14 from both sides of the equation.


number 7 shows the result of the operation in number 6.


number 8 divides both sides of the equation by -10.


number 9 shows the result of the operation in number 8.


since x has been isolated to one side of the equation and everything else has been isolated to the other side of the equation, number 9 shows the solution to problem which is x = -1.


you can confirm this solution is correct by replacing x in the original equation with -1 and solving to see that 4 = 4 which confirms that the solution is correct.


you will get 12/3 = 4 which results in 4 = 4.