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x-x-\left(0.5x-x\right)=1
Combine x and -x to get 0.
0-\left(0.5x-x\right)=1
Combine x and -x to get 0.
0-\left(-0.5x\right)=1
Combine 0.5x and -x to get -0.5x.
0+0.5x=1
The opposite of -0.5x is 0.5x.
0.5x=1
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.