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-5-2\times 4x=5-20x
Multiply both sides of the equation by 10, the least common multiple of 2,5.
-5-8x=5-20x
Multiply -2 and 4 to get -8.
-5-8x+20x=5
Add 20x to both sides.
-5+12x=5
Combine -8x and 20x to get 12x.
12x=5+5
Add 5 to both sides.
12x=10
Add 5 and 5 to get 10.
x=\frac{10}{12}
Divide both sides by 12.
x=\frac{5}{6}
Reduce the fraction \frac{10}{12} to lowest terms by extracting and canceling out 2.