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12-14x-\left(-18\right)=36+4x
To find the opposite of 14x-18, find the opposite of each term.
12-14x+18=36+4x
The opposite of -18 is 18.
30-14x=36+4x
Add 12 and 18 to get 30.
30-14x-4x=36
Subtract 4x from both sides.
30-18x=36
Combine -14x and -4x to get -18x.
-18x=36-30
Subtract 30 from both sides.
-18x=6
Subtract 30 from 36 to get 6.
x=\frac{6}{-18}
Divide both sides by -18.
x=-\frac{1}{3}
Reduce the fraction \frac{6}{-18} to lowest terms by extracting and canceling out 6.