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## Answers

4x + 17=6x-9

Simplify:

4x + 17 = 6x - 9

17 + 9 = 6x-4x

26=2x

26=2x

Divide both sides by 2 and you will get 13

Proof:

4*13 + 17 = 6*13 - 9

69=69 and now we're sure about our answer :D

Sorry that this take long :(

First, make an equation out of the given question.

Four times a number, increased by 17

4x + 17

is equal to:

=

9 less than six times the number:

6x - 9

Equation:

4x+17=6x-9

What I am talking about is the technique of TRANSPOSING!!!

Transpose the numbers by transferring all the numbers from their side to one side. The numbers that are transferred SHOULD CHANGE THEIR SIGNS!!!

Like this:

4x + 17 = 6x - 9

4x + 17 - 6x + 9 = 0

You can see that 6x and -9 have become -6x and +9 for they changed their signs as a result of transposing.

4x +17 - 6x + 9 = 0

After that, REDUCE!!! or you can rearrange them so that you can understand further on how it was done.

4x+17-6x+9=0 is the same with 4x+ -6x + 17 + 9 = 0

( Oh, I can subtract 4x and -6x!!! Let's do it!)

4x + -6x is the same with 4x-6x

4x-6x+17+9=0

-2x + 26 = 0

Transpose it again.

-2x = -26

-2x/-2=-26/-2

x=13

Check:

4x + 17 = 6x-9

4(13) + 17 = 6(13) - 9

52 + 17 = 78-9

69 = 69

Therefore x=13 is correct.