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2\times 10x=2\left(0\times 6-x\right)\times 10\times 3
Multiply both sides of the equation by 2.
20x=2\left(0\times 6-x\right)\times 10\times 3
Multiply 2 and 10 to get 20.
20x=2\left(0-x\right)\times 10\times 3
Multiply 0 and 6 to get 0.
20x=2\left(-1\right)x\times 10\times 3
Anything plus zero gives itself.
20x=-2x\times 10\times 3
Multiply 2 and -1 to get -2.
20x=-20x\times 3
Multiply -2 and 10 to get -20.
20x=-60x
Multiply -20 and 3 to get -60.
20x+60x=0
Add 60x to both sides.
80x=0
Combine 20x and 60x to get 80x.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 80 is not equal to 0, x must be equal to 0.