Solve for x
x = \frac{17}{4} = 4\frac{1}{4} = 4.25
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6x-8=7\left(11-2x\right)
Use the distributive property to multiply 2 by 3x-4.
6x-8=77-14x
Use the distributive property to multiply 7 by 11-2x.
6x-8+14x=77
Add 14x to both sides.
20x-8=77
Combine 6x and 14x to get 20x.
20x=77+8
Add 8 to both sides.
20x=85
Add 77 and 8 to get 85.
x=\frac{85}{20}
Divide both sides by 20.
x=\frac{17}{4}
Reduce the fraction \frac{85}{20} to lowest terms by extracting and canceling out 5.
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