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3\times 1x-55=20-3\times 3x
Multiply both sides of the equation by 15, the least common multiple of 5,3.
3x-55=20-3\times 3x
Multiply 3 and 1 to get 3.
3x-55=20-9x
Multiply -3 and 3 to get -9.
3x-55+9x=20
Add 9x to both sides.
12x-55=20
Combine 3x and 9x to get 12x.
12x=20+55
Add 55 to both sides.
12x=75
Add 20 and 55 to get 75.
x=\frac{75}{12}
Divide both sides by 12.
x=\frac{25}{4}
Reduce the fraction \frac{75}{12} to lowest terms by extracting and canceling out 3.