Solve for x
x = -\frac{43}{17} = -2\frac{9}{17} \approx -2.529411765
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-\left(34-17x\right)+5x-60=8\left(7x-1\right)
Variable x cannot be equal to \frac{1}{7} since division by zero is not defined. Multiply both sides of the equation by 7x-1, the least common multiple of 1-7x,7x-1.
-34+17x+5x-60=8\left(7x-1\right)
To find the opposite of 34-17x, find the opposite of each term.
-34+22x-60=8\left(7x-1\right)
Combine 17x and 5x to get 22x.
-94+22x=8\left(7x-1\right)
Subtract 60 from -34 to get -94.
-94+22x=56x-8
Use the distributive property to multiply 8 by 7x-1.
-94+22x-56x=-8
Subtract 56x from both sides.
-94-34x=-8
Combine 22x and -56x to get -34x.
-34x=-8+94
Add 94 to both sides.
-34x=86
Add -8 and 94 to get 86.
x=\frac{86}{-34}
Divide both sides by -34.
x=-\frac{43}{17}
Reduce the fraction \frac{86}{-34} to lowest terms by extracting and canceling out 2.
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