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5x-5-\left(1-2x\right)=8
Use the distributive property to multiply 5 by x-1.
5x-5-1-\left(-2x\right)=8
To find the opposite of 1-2x, find the opposite of each term.
5x-5-1+2x=8
The opposite of -2x is 2x.
5x-6+2x=8
Subtract 1 from -5 to get -6.
7x-6=8
Combine 5x and 2x to get 7x.
7x=8+6
Add 6 to both sides.
7x=14
Add 8 and 6 to get 14.
x=\frac{14}{7}
Divide both sides by 7.
x=2
Divide 14 by 7 to get 2.