Solve for x
x = -\frac{7}{6} = -1\frac{1}{6} \approx -1.166666667
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x+3\left(5x-1\right)=2\left(x-8\right)-5\left(2x+3\right)
Multiply both sides of the equation by 30, the least common multiple of 30,10,15,6.
x+15x-3=2\left(x-8\right)-5\left(2x+3\right)
Use the distributive property to multiply 3 by 5x-1.
16x-3=2\left(x-8\right)-5\left(2x+3\right)
Combine x and 15x to get 16x.
16x-3=2x-16-5\left(2x+3\right)
Use the distributive property to multiply 2 by x-8.
16x-3=2x-16-10x-15
Use the distributive property to multiply -5 by 2x+3.
16x-3=-8x-16-15
Combine 2x and -10x to get -8x.
16x-3=-8x-31
Subtract 15 from -16 to get -31.
16x-3+8x=-31
Add 8x to both sides.
24x-3=-31
Combine 16x and 8x to get 24x.
24x=-31+3
Add 3 to both sides.
24x=-28
Add -31 and 3 to get -28.
x=\frac{-28}{24}
Divide both sides by 24.
x=-\frac{7}{6}
Reduce the fraction \frac{-28}{24} to lowest terms by extracting and canceling out 4.
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