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2\times 3x+16=5x+32
Multiply both sides of the equation by 8, the least common multiple of 4,8.
6x+16=5x+32
Multiply 2 and 3 to get 6.
6x+16-5x=32
Subtract 5x from both sides.
x+16=32
Combine 6x and -5x to get x.
x=32-16
Subtract 16 from both sides.
x=16
Subtract 16 from 32 to get 16.