Solve for x
x=-\frac{6}{37}\approx -0.162162162
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-5\left(x-4\right)=-14\left(3x-1\right)
Variable x cannot be equal to \frac{1}{3} since division by zero is not defined. Multiply both sides of the equation by 5\left(3x-1\right), the least common multiple of -3x+1,5.
-5x+20=-14\left(3x-1\right)
Use the distributive property to multiply -5 by x-4.
-5x+20=-42x+14
Use the distributive property to multiply -14 by 3x-1.
-5x+20+42x=14
Add 42x to both sides.
37x+20=14
Combine -5x and 42x to get 37x.
37x=14-20
Subtract 20 from both sides.
37x=-6
Subtract 20 from 14 to get -6.
x=\frac{-6}{37}
Divide both sides by 37.
x=-\frac{6}{37}
Fraction \frac{-6}{37} can be rewritten as -\frac{6}{37} by extracting the negative sign.
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