How do you do this?

solve for x:

ax = bx - c

Thank you.

-r

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- May 22nd 2010, 09:40 AMirichi09solve this equation for x
How do you do this?

solve for x:

ax = bx - c

Thank you.

-r - May 22nd 2010, 09:52 AMAnonymous1

- May 22nd 2010, 10:12 AMfreetibet
solve for x:

ax = bx - c

solution: ax - bx = c

(a -b)x = c

x = c/(a - b) - May 22nd 2010, 11:07 AMtreborleinadcorrect solution
This is the correct solution:

- May 22nd 2010, 04:46 PMirichi09thank you for helping
it seems so easy when you see the solution, but not so easy when your making holes in the wall with your forehead.(Coffee)

- May 22nd 2010, 05:38 PMArchie Meade
To protect the wall from your forehead, you need to know how to think it through.

Solve for x means we are being asked to write x=?

What we are given contains x in 2 places, on either side of the equal sign.

When both sides are equal we can perform the exact same operation to both sides.

For instance 5=5

If we subtract 3 from both sides we'll have 5-3=5-3 which is 2=2

The sides may not be what they were originally but they are still equal.

Hence

has x on both sides.

To get the x's on the same side, subtract bx from both sides,

the two sides will still be equal...

therefore we have

If you have 5 boxes of apples, 20 apples per box

and you give 3 boxes to your sister, how many apples will you have ?

You can calculate 100-60=40 or 2(20)

You get the same answer.

Hence we get x in one place by factorising as above.

This is "x multiplied by both a and -b".

To move the (a-b) away from the x, to leave x standing alone,

we divide both sides by (a-b), just as

As

this is

Hence

- May 22nd 2010, 10:26 PMbrumby_3
Nice explanation Archie!