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x-1=0.5x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
x-1-0.5x=0
Subtract 0.5x from both sides.
0.5x-1=0
Combine x and -0.5x to get 0.5x.
0.5x=1
Add 1 to both sides. Anything plus zero gives itself.
x=\frac{1}{0.5}
Divide both sides by 0.5.
x=\frac{10}{5}
Expand \frac{1}{0.5} by multiplying both numerator and the denominator by 10.
x=2
Divide 10 by 5 to get 2.