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4x+9-\frac{17}{2}x=0
Subtract \frac{17}{2}x from both sides.
-\frac{9}{2}x+9=0
Combine 4x and -\frac{17}{2}x to get -\frac{9}{2}x.
-\frac{9}{2}x=-9
Subtract 9 from both sides. Anything subtracted from zero gives its negation.
x=-9\left(-\frac{2}{9}\right)
Multiply both sides by -\frac{2}{9}, the reciprocal of -\frac{9}{2}.
x=2
Multiply -9 times -\frac{2}{9}.