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3\times 2m-5=60
Multiply both sides of the equation by 15, the least common multiple of 5,3.
6m-5=60
Multiply 3 and 2 to get 6.
6m=60+5
Add 5 to both sides.
6m=65
Add 60 and 5 to get 65.
m=\frac{65}{6}
Divide both sides by 6.