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3\times 2x+5\times 3x=50
Multiply both sides of the equation by 15, the least common multiple of 5,3.
6x+5\times 3x=50
Multiply 3 and 2 to get 6.
6x+15x=50
Multiply 5 and 3 to get 15.
21x=50
Combine 6x and 15x to get 21x.
x=\frac{50}{21}
Divide both sides by 21.