SOLUTION: please help me to solve these linear equation (2x+14)/(3x+6)=4

Algebra ->  Linear-equations -> SOLUTION: please help me to solve these linear equation (2x+14)/(3x+6)=4      Log On


   



Question 846927: please help me to solve these linear equation (2x+14)/(3x+6)=4
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
your solution is in the attached picture.
the steps involved are shown below that.
$$$

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.