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7-4x-\left(-5\right)=18
To find the opposite of 4x-5, find the opposite of each term.
7-4x+5=18
The opposite of -5 is 5.
12-4x=18
Add 7 and 5 to get 12.
-4x=18-12
Subtract 12 from both sides.
-4x=6
Subtract 12 from 18 to get 6.
x=\frac{6}{-4}
Divide both sides by -4.
x=-\frac{3}{2}
Reduce the fraction \frac{6}{-4} to lowest terms by extracting and canceling out 2.