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2x-5+4=1-\left(4x+2\right)
Combine 10x and -8x to get 2x.
2x-1=1-\left(4x+2\right)
Add -5 and 4 to get -1.
2x-1=1-4x-2
To find the opposite of 4x+2, find the opposite of each term.
2x-1=-1-4x
Subtract 2 from 1 to get -1.
2x-1+4x=-1
Add 4x to both sides.
6x-1=-1
Combine 2x and 4x to get 6x.
6x=-1+1
Add 1 to both sides.
6x=0
Add -1 and 1 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 6 is not equal to 0, x must be equal to 0.