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x-5x-\left(-7\right)-7-5x=7
To find the opposite of 5x-7, find the opposite of each term.
x-5x+7-7-5x=7
The opposite of -7 is 7.
-4x+7-7-5x=7
Combine x and -5x to get -4x.
-4x-5x=7
Subtract 7 from 7 to get 0.
-9x=7
Combine -4x and -5x to get -9x.
x=\frac{7}{-9}
Divide both sides by -9.
x=-\frac{7}{9}
Fraction \frac{7}{-9} can be rewritten as -\frac{7}{9} by extracting the negative sign.