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3\times 5x+8-2\times 7x=16
Multiply both sides of the equation by 12, the least common multiple of 4,3,6.
15x+8-2\times 7x=16
Multiply 3 and 5 to get 15.
15x+8-14x=16
Multiply -2 and 7 to get -14.
x+8=16
Combine 15x and -14x to get x.
x=16-8
Subtract 8 from both sides.
x=8
Subtract 8 from 16 to get 8.