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4x+10\times 5x=5x
Multiply both sides of the equation by 80, the least common multiple of 20,8,16.
4x+50x=5x
Multiply 10 and 5 to get 50.
54x=5x
Combine 4x and 50x to get 54x.
54x-5x=0
Subtract 5x from both sides.
49x=0
Combine 54x and -5x to get 49x.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 49 is not equal to 0, x must be equal to 0.