6x-3=5x-5

Question

6x-3=5x-5

konradzuse · Answer

Any idea how to start this off?

anonymous · Answer

Isolate all the x's into one side. Then combine like terms.

anonymous · Answer

no

konradzuse · Answer

Okay, so like Ryan said, you want to get the x's on one side, and then get a # = to x on the other side.

anonymous · Answer

transpose 5x to the other side so as -3 to the other side also. then combine like terms. :)

konradzuse · Answer

so first we can either take the 5x or the 6x and put it onto one side, then solve for 5 and the 3, or switch it around.

konradzuse · Answer

$$(6x−3=5x−5)==-5x (6x−3=5x−5)-5x$$

konradzuse · Answer

do you see what I did so far?  I'm taking (-5x) and adding it to both sides, or subtracting 5x from both sides, same thing.

konradzuse · Answer

now what do we get?

anonymous · Answer

I think he just wants an answer....

anonymous · Answer

How about a similar problem:
                                                 10x - 5 = 8x - 9
1.  Get all x's on one side:         -8x         -8x
                                                  2x - 5 =      - 9
2.  Isolate x (get it alone)                + 5         + 5           (Undo +/- first)
                                                   2x      =         4
                                                     x      =         2         (Divide both sides by 2)
Your procedure is the same.