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10\times 520=13x
Multiply both sides of the equation by 260, the least common multiple of 26,20.
5200=13x
Multiply 10 and 520 to get 5200.
13x=5200
Swap sides so that all variable terms are on the left hand side.
x=\frac{5200}{13}
Divide both sides by 13.
x=400
Divide 5200 by 13 to get 400.