Solve for x
x = -\frac{73}{21} = -3\frac{10}{21} \approx -3.476190476
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3\left(2x-4\right)-30=8\left(6x+1\right)+96
Multiply both sides of the equation by 24, the least common multiple of 8,4,3.
6x-12-30=8\left(6x+1\right)+96
Use the distributive property to multiply 3 by 2x-4.
6x-42=8\left(6x+1\right)+96
Subtract 30 from -12 to get -42.
6x-42=48x+8+96
Use the distributive property to multiply 8 by 6x+1.
6x-42=48x+104
Add 8 and 96 to get 104.
6x-42-48x=104
Subtract 48x from both sides.
-42x-42=104
Combine 6x and -48x to get -42x.
-42x=104+42
Add 42 to both sides.
-42x=146
Add 104 and 42 to get 146.
x=\frac{146}{-42}
Divide both sides by -42.
x=-\frac{73}{21}
Reduce the fraction \frac{146}{-42} to lowest terms by extracting and canceling out 2.
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