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4x-2x-\left(-1\right)=-\left(-2+15x\right)
To find the opposite of 2x-1, find the opposite of each term.
4x-2x+1=-\left(-2+15x\right)
The opposite of -1 is 1.
2x+1=-\left(-2+15x\right)
Combine 4x and -2x to get 2x.
2x+1=-\left(-2\right)-15x
To find the opposite of -2+15x, find the opposite of each term.
2x+1=2-15x
The opposite of -2 is 2.
2x+1+15x=2
Add 15x to both sides.
17x+1=2
Combine 2x and 15x to get 17x.
17x=2-1
Subtract 1 from both sides.
17x=1
Subtract 1 from 2 to get 1.
x=\frac{1}{17}
Divide both sides by 17.