SOLUTION: 4 times a number equals 3 times the same number + 9 4x=3x+9 X=3x+9/4 X=3

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Question 827375: 4 times a number equals 3 times the same number + 9
4x=3x+9
X=3x+9/4
X=3
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Let's write that whole sequence of steps properly with the correct conventions:
4x=3x%2B9 ----- this part was good.
x=%283x%2B9%29%2F4 ---- you at least must show proper associate using grouping symbols, and properly.
x=3 ---- and you found this.


Try checking that answer:
4%2A3=3%2A3%2B9
12=9%2B9
12=18, FALSE!
What did you do wrong?

Starting from your first good equation,
4x=3x%2B9, good as I said;
4x-3x=3x%2B9-3x, Additive Inverse of 3x,
highlight%28x=9%29, combined like terms and rule about additive inverses.
That is the answer for x.

Check: Does that answer work?
4%2A9=3%2A9%2B9
36=27%2B9
36=36, true.

The trouble was that you have no justification to go from
4x=3x%2B9
to
x=3x%2B9%2F4