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20x+15\times 7x=12x
Multiply both sides of the equation by 240, the least common multiple of 12,16,20.
20x+105x=12x
Multiply 15 and 7 to get 105.
125x=12x
Combine 20x and 105x to get 125x.
125x-12x=0
Subtract 12x from both sides.
113x=0
Combine 125x and -12x to get 113x.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 113 is not equal to 0, x must be equal to 0.