Solve for x
x=-\frac{1}{19}\approx -0.052631579
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-4\left(x-4\right)=-\left(3x-1\right)\times 14
Variable x cannot be equal to \frac{1}{3} since division by zero is not defined. Multiply both sides of the equation by 4\left(3x-1\right), the least common multiple of -3x+1,4.
-4x+16=-\left(3x-1\right)\times 14
Use the distributive property to multiply -4 by x-4.
-4x+16=-\left(42x-14\right)
Use the distributive property to multiply 3x-1 by 14.
-4x+16=-42x+14
To find the opposite of 42x-14, find the opposite of each term.
-4x+16+42x=14
Add 42x to both sides.
38x+16=14
Combine -4x and 42x to get 38x.
38x=14-16
Subtract 16 from both sides.
38x=-2
Subtract 16 from 14 to get -2.
x=\frac{-2}{38}
Divide both sides by 38.
x=-\frac{1}{19}
Reduce the fraction \frac{-2}{38} to lowest terms by extracting and canceling out 2.
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