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10x+12x-2x=60x-20x
Multiply both sides of the equation by 2.
22x-2x=60x-20x
Combine 10x and 12x to get 22x.
20x=60x-20x
Combine 22x and -2x to get 20x.
20x=40x
Combine 60x and -20x to get 40x.
20x-40x=0
Subtract 40x from both sides.
-20x=0
Combine 20x and -40x to get -20x.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since -20 is not equal to 0, x must be equal to 0.