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9-4x-\left(-9\right)=188
To find the opposite of 4x-9, find the opposite of each term.
9-4x+9=188
The opposite of -9 is 9.
18-4x=188
Add 9 and 9 to get 18.
-4x=188-18
Subtract 18 from both sides.
-4x=170
Subtract 18 from 188 to get 170.
x=\frac{170}{-4}
Divide both sides by -4.
x=-\frac{85}{2}
Reduce the fraction \frac{170}{-4} to lowest terms by extracting and canceling out 2.