How in the world does 2x - 5 + 3x - 1 = 3 + 4...?

Question

...how does 2x - 5 + 3x - 1 = 3 + 4 simply to 5x - 6 = 3x + 4? I'm having some trouble in my algebra. I re-studied it and have some of the rules memorized to help, but I'm just not a math whiz teen.

I know the end result, after 5x - 6 = 3x + 4, simplifies down when you add 6 to both sides, leaving a 5x = 3x + 10, and then you subtract 3x leaving 2x = 10, which finally you discover the variable by dividing 2 into 2x and 10. The end result for the variable will be x = 5. But how in the world did they get 5x = 6 from 2x - 5 + 3x - 1? You add first, right? Or did I get that confused? The only way I see to get it is to add 3x, 2x, and 1 to get the six, then put the five ahead of it. But that isn't right.

All in all, could someone explain this? Thanks a lot!!

Whoops! Yeah, I forgot the x in 3x + 4. Sorry. But everything else is right. And some answers here only make me more confused...maybe you could use less algebraic expressional language, please?

Answer 1

2x - 5 + 3x - 1 = 3 + 4

Collect like terms 2x + 3x = 5x and - 5 - 1 = - 6 for the left side of the equation. The right side is 3 + 4 = 7

5x - 6 = 7

Transpose + 6 to both sides of the equation

5x - 6 + 6 = 7 + 6

on the left side of the equation a - 6 and + 6 cancell. on the right side of the equation you add 7 + 6

5x = 13

Divide 5 from both sides of the equation

5x / 5 = 13 / 5

x = 13 / 5

x = 2 3/5

- - - - - - - - - -s-

Answer 2

they would not simplify to the same thing.

you can calculate everything out, or simply observe that:

2x - 5 + 3x - 1 = 3 + 4
5x - 6 = 3 + 4
-----------------------------------
5x - 6 = 3x + 4

so by observation you can tell that, if they simplify to the same thing, x would be equals 1.

however, if you sub x=1 into any of the equation, you would end up with 5-6=7, which is wrong.

therefore, you can conclude that they do not simplify to the same thing.

if you do calculation, 2x - 5 + 3x - 1 = 3 + 4 would give you x= 13/5, whereas 5x - 6 = 3x + 4 would give you x=5.

Answer 3

I suppose you have forgotten x in the right side of your equation

so , you do the following in the left side you simplify, adding the terms in x and summing the numbers

you find 5x-6 . in the left side it is done so

5x-6 = 3x+4
after this put the terms in x to the left

and 5x-3x = 4+6

2x =10 x=5

it is correct 3x + 4 ,= 19 ans so on the left side

Answer 4

-6y + 14 = 56 -6y = 42 y = -7 6 - 24w = -18 -24w = -24 w = 1 i think you wrote this one wrong 10 - 6v + 9v = 28 3v = 18 v = 6 7 - 15t + 30 = 67 -15t = 30 t = -2 -54 - 9u - 2u = -10 -11u = 44 u = -4 13x - 21x - 7 = 63 8x = 70 x = 70/8 = 8.75 15 - 4m + 5 = 32 -4m =12 m = -3 14k - 8 + 9 = -13 14k = -14 k = -1 -5y + 30 + 10y = 0 5y = -30 y = -6 3 + 12n - 10n +6 = 25 2n = 16 n = 8 -6x + 12 + 12 - 24x = -36 -30x = - 60 x = 2 20 + 10x - 8x +12 = 68 2x = 36 x = 18 12 + 18y - 7y + 35 = -8 11y = -55 y = -5 16w - 48 -4 - 20w = 0 -4w = 52 w = -13

Answer 5

2x-5+3x-1=3x+4
5x-6=3x+4
subtract 6 from both sides to get
5x=3x+10
subtract 3x from both sides to get
2x=10
divide 10 by 2
x=5

Answer 6

2x -5+3x-1=3+4
5x-6=7
5x=13 or
2x-5+3x-1=3x+4
5x-6=3x+4
5x-3x=4+6
2x=10
x=5, otherwise, then the question is wrong

Answer 7

2x - 5 + 3x -1 = 3 + 4
5x - 6 = 7
5x = 13
x = 13/5
---------------
5x - 6 = 3x + 4
2x - 6 = 4
2x = 10
x = 5
-------------
They don't simplify to the same thing.

Answer 8

Wrong.

The problem is not stated correctly. You need to edit it.