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-3=5+2\times 5x
Multiply both sides of the equation by 12, the least common multiple of 4,12,6.
-3=5+10x
Multiply 2 and 5 to get 10.
5+10x=-3
Swap sides so that all variable terms are on the left hand side.
10x=-3-5
Subtract 5 from both sides.
10x=-8
Subtract 5 from -3 to get -8.
x=\frac{-8}{10}
Divide both sides by 10.
x=-\frac{4}{5}
Reduce the fraction \frac{-8}{10} to lowest terms by extracting and canceling out 2.