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5-3x=5x+35
Multiply both sides of the equation by 5.
5-3x-5x=35
Subtract 5x from both sides.
5-8x=35
Combine -3x and -5x to get -8x.
-8x=35-5
Subtract 5 from both sides.
-8x=30
Subtract 5 from 35 to get 30.
x=\frac{30}{-8}
Divide both sides by -8.
x=-\frac{15}{4}
Reduce the fraction \frac{30}{-8} to lowest terms by extracting and canceling out 2.