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8+10x=1\times 10+1
Multiply both sides of the equation by 10, the least common multiple of 5,10.
8+10x=10+1
Multiply 1 and 10 to get 10.
8+10x=11
Add 10 and 1 to get 11.
10x=11-8
Subtract 8 from both sides.
10x=3
Subtract 8 from 11 to get 3.
x=\frac{3}{10}
Divide both sides by 10.