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x-\frac{5}{2}-\frac{12}{2}
Convert 6 to fraction \frac{12}{2}.
x+\frac{-5-12}{2}
Since -\frac{5}{2} and \frac{12}{2} have the same denominator, subtract them by subtracting their numerators.
x-\frac{17}{2}
Subtract 12 from -5 to get -17.
\frac{2x-17}{2}
Factor out \frac{1}{2}.
2x-17
Consider 2x-5-12. Multiply and combine like terms.
\frac{2x-17}{2}
Rewrite the complete factored expression.