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4x-1-\left(-2x\right)=2x-\left(7+6x\right)
To find the opposite of 1-2x, find the opposite of each term.
4x-1+2x=2x-\left(7+6x\right)
The opposite of -2x is 2x.
6x-1=2x-\left(7+6x\right)
Combine 4x and 2x to get 6x.
6x-1=2x-7-6x
To find the opposite of 7+6x, find the opposite of each term.
6x-1=-4x-7
Combine 2x and -6x to get -4x.
6x-1+4x=-7
Add 4x to both sides.
10x-1=-7
Combine 6x and 4x to get 10x.
10x=-7+1
Add 1 to both sides.
10x=-6
Add -7 and 1 to get -6.
x=\frac{-6}{10}
Divide both sides by 10.
x=-\frac{3}{5}
Reduce the fraction \frac{-6}{10} to lowest terms by extracting and canceling out 2.