Pre-Calculus review help >.<;?

Question

Can anyone walk me through how to do this problem?

4-2x = 3x-6

Answer 1

isolate the variables to one side of the equation, and the rest to the other...

let&#039;s put all terms of &quot;x&quot; on the left side, and move the rest to the right..

inorder to move them, use the opposite function.

4-2x=3x-6

move 4 to the right side:      4-4-2x=3x-6-4

                                         -2x = 3x - 10

                              

now move the x to the left side of the equal sign:



                           -2x - 3x = 3x -3x -10

                        -5x = -10

divide both side by -5 to isolate x by itself

                    -5x/-5   =        -10/-5

                             x = 2

check by subing your answer back into the original:

   4 - 2 (2) =?= 3(2) -6

     4 - 4 =?=  6 -6

        0 =0     check

so your answer is   x = 2

Answer 2

4-2x = 3x-6

first way

4-2x = 3x-6

-4           -4

-2x=3x-10

-3x  -3x

-5x=10

----------

    5

-x=2

x=-2(since x cant be negative)

2nd way

4-2x = 3x-6

+6          +6

10-2x=3x

    +2x +2x

10=5x

---------

    5

2=x