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5\times 4x-3\times 3x=165
Multiply both sides of the equation by 15, the least common multiple of 3,5.
20x-3\times 3x=165
Multiply 5 and 4 to get 20.
20x-9x=165
Multiply -3 and 3 to get -9.
11x=165
Combine 20x and -9x to get 11x.
x=\frac{165}{11}
Divide both sides by 11.
x=15
Divide 165 by 11 to get 15.