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7x-1-\left(4x-6\right)=14
Multiply both sides of the equation by 2.
7x-1-4x-\left(-6\right)=14
To find the opposite of 4x-6, find the opposite of each term.
7x-1-4x+6=14
The opposite of -6 is 6.
3x-1+6=14
Combine 7x and -4x to get 3x.
3x+5=14
Add -1 and 6 to get 5.
3x=14-5
Subtract 5 from both sides.
3x=9
Subtract 5 from 14 to get 9.
x=\frac{9}{3}
Divide both sides by 3.
x=3
Divide 9 by 3 to get 3.