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3\times 5x=5\times 3\times 1
Multiply both sides of the equation by 15, the least common multiple of 5,3.
15x=5\times 3\times 1
Multiply 3 and 5 to get 15.
15x=15\times 1
Multiply 5 and 3 to get 15.
15x=15
Multiply 15 and 1 to get 15.
x=\frac{15}{15}
Divide both sides by 15.
x=1
Divide 15 by 15 to get 1.