Simplify 2x-{3x-[x - (2x-1) ]}

Step-by-step explanation:

Working from the inside out, we take it one bracket at a time

2x-{3x-[x - (2x-1) ]}

let's tackle the underlined prolem first

x - (2x-1)

= x-2x+1

= - x+1 ... we can also write this as 1-x if need be

So we now have (2x - (3x - (-x-1)))

Again, we tackle the undelined problem first

3x - (-x-1)

= 3x+x+1

= 4x+1

So we now have 2x - (4x+1)

Now we can tackle this together

= 2x-4x-1

= - 2x-1