Solve for x
x = -\frac{7}{6} = -1\frac{1}{6} \approx -1.166666667
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3\left(5x-1\right)+5\left(2x+3\right)=2\left(x-8\right)-x
Multiply both sides of the equation by 30, the least common multiple of 10,6,15,30.
15x-3+5\left(2x+3\right)=2\left(x-8\right)-x
Use the distributive property to multiply 3 by 5x-1.
15x-3+10x+15=2\left(x-8\right)-x
Use the distributive property to multiply 5 by 2x+3.
25x-3+15=2\left(x-8\right)-x
Combine 15x and 10x to get 25x.
25x+12=2\left(x-8\right)-x
Add -3 and 15 to get 12.
25x+12=2x-16-x
Use the distributive property to multiply 2 by x-8.
25x+12-2x=-16-x
Subtract 2x from both sides.
23x+12=-16-x
Combine 25x and -2x to get 23x.
23x+12+x=-16
Add x to both sides.
24x+12=-16
Combine 23x and x to get 24x.
24x=-16-12
Subtract 12 from both sides.
24x=-28
Subtract 12 from -16 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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