(2x+1)-(X-1)=

to get rid of the second set of parentheses, you have to mulptiply by -1...so the x becomes -x and the -1 becomes 1.
So, its 2x + 1 - x +1 = x + 2

To simplify the expression (2x + 1) - (x - 1), we need to remove the parentheses. One way to do this is by using the distributive property.

First, let's distribute the negative sign in front of the second set of parentheses:

-(x - 1) = -1 * x + (-1) * (-1) = -x + 1

Now, we can rewrite the expression:

(2x + 1) - (x - 1) = 2x + 1 - x + 1

Next, we can combine like terms. Terms with the same variable raised to the same power can be combined by adding or subtracting their coefficients:

2x - x + 1 + 1 = (2x - x) + (1 + 1) = x + 2

Therefore, the simplified expression is x + 2.