Explain me how to do 21 - x = 4x - 14. I need to solve it.?

2009-05-18 9:34 am

回答 (16)

2009-05-18 9:37 am
✔ 最佳答案
21 - x = 4x - 14

Now, group all the x together. Move 4x to the left side. Now, when 4x moves to the left hand side, it becomes negative (-). Originally, 4x was positive (+) but mathematicians don't write the + sign in front of a positive number.

21 - x = 4x - 14
21 - x - 4x = - 14

Now, group all the non-x together at the right hand side. Move 21 to the right hand side and it becomes -21.

21 - x - 4x = -14
-x - 4x = -14 - 21
-5x = -14 - 21
-5x = -35

Now, bring 5 over to 35 to find x. This part is tricky. In the beginning, we know that moving positive numbers over to the other side will result in a negative number and vice versa. For multiplication and division, you don't need to change the positive or negative sign but only change whether its multiplied or divided. -5x means -5 multiply by x. When you bring -5 to the other side, you have to make it become divided.

-5x = -35
x = -35 / -5
x = 7 (negative divide by a negative number becomes positive)
2009-05-18 6:20 pm
x= 7
2009-05-18 5:18 pm
35 = 5 x+
x = 7
2009-05-18 5:12 pm
Here is the simplist way i can do to show you how to do it
21 - x = 4x - 14
21 - x - 4x = 4x - 4x - 14
21 - 21 - 5x = -14 -21
- 5x = - 35
- 5x/5 = - 35/5
x = 7

In equations what you do to one side you have to do to the other side. To solve a equation your aim is to get the pronumeral by itself and to do that you need to have like terms all on one side. Then if you can simpify it until you get the pronumeral by itself.

To get one number/pronurmal to the other side you do the opposite operation like if it is a - you + to canel it from one side so that it is on the other side. Make sure there is something on each side!
參考: My brain. I've done this stuff before
2009-05-18 5:03 pm
well to solve. You work out the smaller number with the pronumeral which is negative x so you do the opposite, + x. Then -x and + xcancel out and you get

21 - x = 4x - 14
(+x) (+x)

then

21 = 5x - 14

Then you find the smallest number which is - 14 and do the opposite and do it to both numbers

so

21 = 5x - 14
(+14) (+14)

Cancel out - 14 and + 14

so 35 = 5x

Divide so x is by itself

35 = 5x
-- --
5 5

so 7 = x

rearrange so its right

x = 7
參考: Year 12 specialist maths
2009-05-18 5:02 pm
follow 21+14=4x+x
35=5x
x=35/5
x=7
simple!!!!!
2009-05-18 4:43 pm
here is my ans

soln,
here, 21-x= 4x-14
or, 21+14= 4x+x
or, 35 = 5x
or, x =35/5
x= 7
2009-05-18 4:39 pm
you need to move the variables onto one side of the '=' and the numbers onto the other side

so, if you have 21 - x = 4x - 14
then you'll take the x onto the RHS, and the 14 onto the LHS.
But remember, when you move it acropss, the sign changes

so you'll geet 21 + 14 = 4x + x
now you can solve it easily :)

...and dont forget to learn about Islam
2009-05-18 4:38 pm
Well first, you want to move all the terms with X to one side. To do that add X to both sides. That will make it 21=5X-14. Then add 14 to both sides giving you 35=5x. Then divide by 5 to get X by itself giving you X=7.
2009-05-18 4:37 pm
21+14 = 4x+x
35 = 5x
x = 35/5
x = 7


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