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2+2x\times 5=1
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2x, the least common multiple of x,2x.
2+10x=1
Multiply 2 and 5 to get 10.
10x=1-2
Subtract 2 from both sides.
10x=-1
Subtract 2 from 1 to get -1.
x=\frac{-1}{10}
Divide both sides by 10.
x=-\frac{1}{10}
Fraction \frac{-1}{10} can be rewritten as -\frac{1}{10} by extracting the negative sign.