How would I solve this : 5x - 1 + x + 2 = 5x

What are you trying to do find X?
5X-1+x+2=5x (subtract the 5x)
-1+x+2=0 (add -1 and 2)
x+1=0 (subtract 1 on both sides)
x=-1
:)

5x + x -1 + 2 = 5x (Rearrange equation so that like terms are with each other)
6x + 1 = 5x (Solve like terms)
-6x -6x (Subtract 6x from both sides)
1 = -1x (Isolate the variable to one side)
/-1 /-1 (Divide both sides by the coefficient, to isolate the variable)
-1 = x (The answer is x = -1 )

It's basically trying to isolate the variable which this case is x.

So 5x -1 +x +2 =5x would turn into

-1 +2 = 5x -5x (it turns into a negative because it went on the other side of the equals sign.

So now you do the simple math on each side so:
1=0x

1=0
x is 0, so really there is no x, but that's the solution.

First, you combine like terms
5x+x and -1+2

giving you
6x+1=5x

Then you subtract 6x from both sides giving you
1 = -x

swap the signs

-1 = x

you would have to first move the X to one side and add the X together and than add the number together. if the x is not by it self than you would have to /. So the answer for the problem: X=-1

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5x - 1 + x + 2 = 5x <-- original
5x - 5x +x = 1 - 2 <-- isolate the variables, collect like terms
x = - 1 <-- final answer

5x From both sides cancels out.

- 1+ x + 2 = 0 ;

x = - 1 .

collect like terms and isolate the x term

5x-1+x+2=5x
5x+x-5x = 1-2
x = -1

5x-1+x+2=5x

6x+1=5x

6x-6x+1=5x-6x

1=x

6x+1=5x
x=1

x = 1