how do i solve this 6x-2+2x=-2+4x+8
2007-11-21 17:45:05 · 12 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Group the like terms (all x terms together, and all numbers together):
6x - 2 + 2x = -2 + 4x + 8
(6x + 2x) - 2 = 4x + (8 - 2)
8x - 2 = 4x + 6
Now subtract 4x from both sides:
4x - 2 = 6
Add 2 to both sides:
4x = 8
Divide both sides by 4:
x = 8/4
x = 2
As a double-check, plug x = 2 back into your original equation to make sure it balances.
Left side:
6(2) - 2 + 2(2) = 12 - 2 + 4 = 14
Right side:
-2 + 4(2) + 8 = -2 + 8 + 8 = 14
Yes! They balance, so x = 2
2007-11-21 17:48:45 · answer #1 · answered by Puzzling 7 · 1⤊ 0⤋
Given: 6x - 2 + 2x = -2 + 4x + 8
* Combine similar terms..
Solution:
6x + 2x - 4x = -2 + 8 + 2
4x = 8
* divide both side by 4 to eliminate the coeficient of x and get the value of x., therefore
Answer: x = 2
2007-11-22 02:33:41 · answer #2 · answered by Periwinkle 2 · 0⤊ 0⤋
6x - 2 +2x = -2 +4x +8 combine like terms
(6x+2x) - 2 = (-2 +8) +4x (this is just rearranging the terms)
8x - 2 = 6 + 4x now subtract 4x from each side
8x - 4x - 2 = 6 +4x - 4x
4x - 2 = 6 now add 2 to each side
4x = 8
x = 2
2007-11-22 01:52:06 · answer #3 · answered by SJM60 5 · 0⤊ 0⤋
6x-2+2x=-2+4x+8
= 8x-2=6+4x
= 4x-2 =6
= 4x=8
x=2
2007-11-22 04:57:06 · answer #4 · answered by Anonymous · 0⤊ 0⤋
6x+2x - 2 = -2+8+4x
8x - 2 = 6 +4x
First: combine "like" terms - subtract 4x from both sides (when you move a term to the opposite side, always use the opposite sign).
8x - 2-4x = 6 +4x-4x
4x - 2 = 6
SEc: add 2 to both sides
4x - 2+2 = 6+2
4x = 8
Third: divide both sides by 4.
4x/4 = 8/4
x = 2
2007-11-22 01:50:20 · answer #5 · answered by ♪♥Annie♥♪ 6 · 0⤊ 1⤋
6x-2+2x=-2+4x+8
leave x on one side, if this your homework try to learn the step ill write you dont just copy the answer, you gona b screwed in exam.
6x+2x=-2+4x+8+2 (plus 2 on both side)(if you change something on one side, do the vice-versa for other side).
6x+2x-4x=-2+8+2
4x=8
x=8/4
x=2
2007-11-22 01:52:10 · answer #6 · answered by MOOMIN 2 · 0⤊ 0⤋
Combine like terms....6x and 2x make 8x, and then simplify. 8x-2=4x+10. Check your work by plugging in any number as value of X. Ex.: x=3. 8(3)+2=22.....and 4(3)+10=22.
2007-11-22 01:47:59 · answer #7 · answered by Beantown Hopeful 1 · 0⤊ 1⤋
6x-2+2x=-2+4x+8
8x-4x= -2+8+2
4x = 8
x = 2
2007-11-22 05:06:31 · answer #8 · answered by catsfanj 3 · 0⤊ 0⤋
cancel out the 2s since a -2 on oneside added to the other would cancel out and create a 0.
from there it would look like this:
6x+2x=4x+8
From there, add 6x+2x= 8x
8x=4x+8
then subtract the 4x
4x=8
divide by 4
x=2
2007-11-22 01:50:35 · answer #9 · answered by Ph15h 4 · 0⤊ 1⤋
6x-2+2x=-2+4x+8
8x-4x= -2+8+2
4x = 8
x = 2
2007-11-22 01:48:10 · answer #10 · answered by Shivam P 2 · 0⤊ 1⤋