[x+6]-[2x+7]-3x=-9

Question

solve the equation.check your answer

Answer 1

He Chelsea, first you should try to isolate all of the variable values, x, into one value. This should be done by expanding the parentheticals...remember that the - before the second parenthesis applies throughout all the terms in the parentheses!

 

x+6 - (2x+7) - 3x = -9

 

x+6 - 2x - 7 - 3x = -9

 

Now we can gather all the x's into one term...

 

x-2x-3x +6 - 7 = -9

 

-4x + 6 -7 = -9

 

...and now simply solve for x!

 

-4x = -9 - 6 + 7

 

-4x = -8

 

4x = 8

 

x = 2

 

We can verify that this is the correct value for x by plugging it back into the original equation and making sure both sides are equal:

 

(2 + 6) - (4 + 7) - 6 = -9

 

8 - 11 - 6 = -9

 

-3 - 6 = -9

 

-9 = -9

 

Therefore, we have the correct value for x!

Answer 2

    [x + 6] - [2x + 7] - 3x = -9

 

First, let's distribute the negative sign among both parts of the [2x + 7] term:

 

    x + 6 - 2x - 7 - 3x = -9

 

Now we will combine all the terms that have x:

 

    (x - 2x - 3x) + 6 - 7 = -9

 

    x(1 - 2 - 3) - 1 = -9

 

    -4x - 1 = -9

 

Now we want to isolate x by adding 1 to both sides of the equation, then dividing by -4:

 

    -4x = -8

 

    x = -8/-4

 

    x = 2

 

Answer 3

 There are 4 steps to take , in order to solve linear one variable equations.

 

    1.  Simplify both sides: ( using order of operation)

 

 

          ( X + 6 ) - (2X  +7 ) - 3x = -9

         

             X+ 6 - 2X -  7 - 3X = -9

          

             - 4X - 7 = - 9    after this step maximum terms in each side should be 2 , for X , and constant.

         

       2 .  Move variable term to one side, and constants to other. the sign of the term to be moved should    

              be changed.

               

               -4X = -9 + 7

        3.    Simplify both sides after the 2nd step.

             

                 -4X = -2

 

       4 .  3rd step should simplify the equation to  mx = n , where m, and n are constants.

             

              then   X =n/m , in this example m = -4, n = -2

                 

                 X = -2/ -4 = 1/2.

       These 4 steps can solve any equation with any complexity.