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x+19=\frac{23}{2}
Swap sides so that all variable terms are on the left hand side.
x=\frac{23}{2}-19
Subtract 19 from both sides.
x=\frac{23}{2}-\frac{38}{2}
Convert 19 to fraction \frac{38}{2}.
x=\frac{23-38}{2}
Since \frac{23}{2} and \frac{38}{2} have the same denominator, subtract them by subtracting their numerators.
x=-\frac{15}{2}
Subtract 38 from 23 to get -15.