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3\times 7x-4\times 4x=60
Multiply both sides of the equation by 60, the least common multiple of 20,15.
21x-4\times 4x=60
Multiply 3 and 7 to get 21.
21x-16x=60
Multiply -4 and 4 to get -16.
5x=60
Combine 21x and -16x to get 5x.
x=\frac{60}{5}
Divide both sides by 5.
x=12
Divide 60 by 5 to get 12.