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x-1-\left(-3x\right)=8x-1
To find the opposite of 1-3x, find the opposite of each term.
x-1+3x=8x-1
The opposite of -3x is 3x.
4x-1=8x-1
Combine x and 3x to get 4x.
4x-1-8x=-1
Subtract 8x from both sides.
-4x-1=-1
Combine 4x and -8x to get -4x.
-4x=-1+1
Add 1 to both sides.
-4x=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 -4 is not equal to 0, x must be equal to 0.