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12x-4-\left(2x-1\right)=x-\left(7x-3\right)
Use the distributive property to multiply 4 by 3x-1.
12x-4-2x-\left(-1\right)=x-\left(7x-3\right)
To find the opposite of 2x-1, find the opposite of each term.
12x-4-2x+1=x-\left(7x-3\right)
The opposite of -1 is 1.
10x-4+1=x-\left(7x-3\right)
Combine 12x and -2x to get 10x.
10x-3=x-\left(7x-3\right)
Add -4 and 1 to get -3.
10x-3=x-7x-\left(-3\right)
To find the opposite of 7x-3, find the opposite of each term.
10x-3=x-7x+3
The opposite of -3 is 3.
10x-3=-6x+3
Combine x and -7x to get -6x.
10x-3+6x=3
Add 6x to both sides.
16x-3=3
Combine 10x and 6x to get 16x.
16x=3+3
Add 3 to both sides.
16x=6
Add 3 and 3 to get 6.
x=\frac{6}{16}
Divide both sides by 16.
x=\frac{3}{8}
Reduce the fraction \frac{6}{16} to lowest terms by extracting and canceling out 2.