Solve for x
x=6
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8\times 2+8x\times 2=2\times 5+8x\times \frac{17}{8}
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 8x, the least common multiple of x,4x,8.
16+8x\times 2=2\times 5+8x\times \frac{17}{8}
Multiply 8 and 2 to get 16.
16+16x=2\times 5+8x\times \frac{17}{8}
Multiply 8 and 2 to get 16.
16+16x=10+8x\times \frac{17}{8}
Multiply 2 and 5 to get 10.
16+16x=10+17x
Multiply 8 and \frac{17}{8} to get 17.
16+16x-17x=10
Subtract 17x from both sides.
16-x=10
Combine 16x and -17x to get -x.
-x=10-16
Subtract 16 from both sides.
-x=-6
Subtract 16 from 10 to get -6.
x=6
Multiply both sides by -1.
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