Solve for x
x = \frac{108}{17} = 6\frac{6}{17} \approx 6.352941176
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10x-2\left(9-2x\right)\times 6=5\times 5x-8x
Multiply both sides of the equation by 2.
10x-12\left(9-2x\right)=5\times 5x-8x
Multiply 2 and 6 to get 12.
10x-108+24x=5\times 5x-8x
Use the distributive property to multiply -12 by 9-2x.
34x-108=5\times 5x-8x
Combine 10x and 24x to get 34x.
34x-108=25x-8x
Multiply 5 and 5 to get 25.
34x-108=17x
Combine 25x and -8x to get 17x.
34x-108-17x=0
Subtract 17x from both sides.
17x-108=0
Combine 34x and -17x to get 17x.
17x=108
Add 108 to both sides. Anything plus zero gives itself.
x=\frac{108}{17}
Divide both sides by 17.
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