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.