3x+6 = 5x-8
Show me your calculation, how you got to the answer!
2007-12-08 00:41:26 · 16 answers · asked by Made in Sweden ♥ 6 in Science & Mathematics ➔ Mathematics
3x+6=5x-8
3x-5x=-8-6
-2x=-14
x=14/2
x=7
2007-12-08 00:55:32 · answer #1 · answered by Anonymous · 0⤊ 1⤋
If
3X+6=5X-8
To solve for X you need to get a term with X in it on its own so move the +6 over to the other side of the equation i.e the other side of the equals sign. When it moves across it becomes its opposite i.e. a positive number becomes a negative number so
3X=5X-8-6 or 3X=5X-14
So you can see that the difference between the two sides of the equation is 2X and -14 i.e if you reduce 5X by 14 it is the same as 3X so 2X=14, so 1X or X = 14/2=7.
You can prove this in the original equation as
3X+6= 27 where X = 7
and
5X-8 = 35-8=27 where X=7
as both sides equal eachother with the number you have solved for - 7 - it must be right
2007-12-08 08:54:41 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Simplifying
3x + 6 = 5x + -8
Reorder the terms:
6 + 3x = 5x + -8
Reorder the terms:
6 + 3x = -8 + 5x
Solving
6 + 3x = -8 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
6 + 3x + -5x = -8 + 5x + -5x
Combine like terms: 3x + -5x = -2x
6 + -2x = -8 + 5x + -5x
Combine like terms: 5x + -5x = 0
6 + -2x = -8 + 0
6 + -2x = -8
Add '-6' to each side of the equation.
6 + -6 + -2x = -8 + -6
Combine like terms: 6 + -6 = 0
0 + -2x = -8 + -6
-2x = -8 + -6
Combine like terms: -8 + -6 = -14
-2x = -14
Divide each side by '-2'.
x = 7
Simplifying
x = 7
2007-12-08 11:41:40 · answer #3 · answered by Anonymous · 0⤊ 0⤋
3x+6=5x-8
3x-3x+6+8=5x-3x-8+8
14=2x
Divide both sides by 2 so that x will be retained
7=x
If x=7 then...
3(7)+6=5(7)-8
21+6=35-8
27=27
So 3x+6 is equal to 5x-8
2007-12-08 08:57:20 · answer #4 · answered by arjoie 1 · 0⤊ 0⤋
3x+6=5x-8 then
isolate the vaiables
move 5x over with the 3x and move 6 with the -8 so you have
3x-5x=-8-6
so then you have
-2x=-14 then you divide both sides by -2 so thenyou have
x= 7
2007-12-08 08:45:16 · answer #5 · answered by MBCBnBB 3 · 0⤊ 0⤋
3x+6=5x-8 (add8 to both sides)
3x+14=5x (-3x from both sides)
14=2x (divide by 2 from each side)
7=x (the answer)
2007-12-08 08:54:28 · answer #6 · answered by Anonymous · 0⤊ 0⤋
3x + 6 = 5x - 8
Transpose 3x
3x + 6 - 3x = 5x - 8 - 3x
Collect like terms
6 = 2x - 8
Transpose 8
6 + 8 = 2x - 8 + 8
Collect liike terms
14 = 2x
Divide both sides of the equation by 2
14 / 2 = 2x / 2
14/2 = x
7 = x
- - - - - - - - -s-
2007-12-08 08:48:25 · answer #7 · answered by SAMUEL D 7 · 0⤊ 1⤋
add 8-3x to both sdies
3x+6 +8-3x = 5x-8 +8 -3x
14=2x (divide both sides by 2 )
x=7
2007-12-08 08:53:58 · answer #8 · answered by mbdwy 5 · 0⤊ 0⤋
3x-5x =-8 - 6
-2x=-14
x= 7
2007-12-08 08:47:06 · answer #9 · answered by ARSH 2 · 0⤊ 1⤋
3x - 5x = -8 -6
-2x = -14
x = 7
2007-12-08 08:45:45 · answer #10 · answered by Judi L 6 · 1⤊ 1⤋