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\frac{1-5}{2}+x
Since \frac{1}{2} and \frac{5}{2} have the same denominator, subtract them by subtracting their numerators.
\frac{-4}{2}+x
Subtract 5 from 1 to get -4.
-2+x
Divide -4 by 2 to get -2.
\frac{-4+2x}{2}
Factor out \frac{1}{2}.
2x-4
Consider 1+2x-5. Multiply and combine like terms.
2\left(x-2\right)
Consider 2x-4. Factor out 2.
x-2
Rewrite the complete factored expression.