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28-19x=34+40-5x
Use the distributive property to multiply 5 by 8-x.
28-19x=74-5x
Add 34 and 40 to get 74.
28-19x+5x=74
Add 5x to both sides.
28-14x=74
Combine -19x and 5x to get -14x.
-14x=74-28
Subtract 28 from both sides.
-14x=46
Subtract 28 from 74 to get 46.
x=\frac{46}{-14}
Divide both sides by -14.
x=-\frac{23}{7}
Reduce the fraction \frac{46}{-14} to lowest terms by extracting and canceling out 2.