SOLUTION: I'm not sure if this is the right category but it seems correct. Example: 9x = 3x Find the value of X. I need an explanation on how to do one like the one mentioned before, and

Algebra ->  Expressions-with-variables -> SOLUTION: I'm not sure if this is the right category but it seems correct. Example: 9x = 3x Find the value of X. I need an explanation on how to do one like the one mentioned before, and       Log On


   



Question 343293: I'm not sure if this is the right category but it seems correct. Example: 9x = 3x
Find the value of X. I need an explanation on how to do one like the one mentioned before, and one like this: 4x (+ or -) 15 = 30. Also, 4x (+ or -) 6 = 25x. These are just examples I made up, none of them are actual questions. I just need help on the steps to solve it.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
When you have an equation, you can add or subtract, multiply and divide, by any number as long as you do it to both sides of the equation (except division by zero).
You want to isolate all the x terms on one side, all the constant terms on the other.
Eventually you want an equation that looks like, x=...., because then you're done, you've solved the problem.
Here's an example.
5x%2B13=2x-4
Add -2x to both sides, to remove it from the right hand side.
5x-2x%2B13=2x-2x-4
3x%2B13=0-4
3x%2B13=-4
Subtract 13 from both sides, to remove it from the left hand side.
3x%2B13-13=-4-13
3x%2B0=-17
3x=-17
Divide both sides by 3.
%283x%29%2F3=-17%2F3
%283%2F3%29x=-17%2F3
%281%29x=-17%2F3
highlight%28x=-17%2F3%29
You're done, you've solve for x.
You can verify the solution by plugging it into your original equation.
5x%2B13=2x-4
5%28-17%2F3%29%2B13=2%28-17%2F3%29-4
-85%2F3%2B13=-34%2F3-4
Multiply both sides by 3 to eliminate the fractions.
-85%2B39=-34-12
-46=-46
True, so the solution is valid.
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Not all equations have a solution.
5x=5x%2B3
Subtract 5x from both sides.
5x-5x=5x-5x%2B3
0=0%2B3
0=3
That's obviously not true, so no x solves that problem.
There is no solution.
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Here are your two examples without all of the steps.
Make sure you understand how to go from 1 step to the next.
4x%2B15+=+30
4x%2B15-15=30-15
4x=15
x=15%2F4
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4x-6+=+25x
4x-25x-6=25x-25x
-21x-6=0
-21x=6
x=-6%2F21
x=-2%2F7
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Good luck.