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5x-2=1-10x
Multiply both sides of the equation by 25, the least common multiple of 5,25.
5x-2+10x=1
Add 10x to both sides.
15x-2=1
Combine 5x and 10x to get 15x.
15x=1+2
Add 2 to both sides.
15x=3
Add 1 and 2 to get 3.
x=\frac{3}{15}
Divide both sides by 15.
x=\frac{1}{5}
Reduce the fraction \frac{3}{15} to lowest terms by extracting and canceling out 3.