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7\left(-\frac{1}{1}\right)\left(x-3\right)=x+7\times 3
Multiply both sides of the equation by 7.
7\left(-1\right)\left(x-3\right)=x+7\times 3
Anything divided by one gives itself.
-7\left(x-3\right)=x+7\times 3
Multiply 7 and -1 to get -7.
-7x+21=x+7\times 3
Use the distributive property to multiply -7 by x-3.
-7x+21=x+21
Multiply 7 and 3 to get 21.
-7x+21-x=21
Subtract x from both sides.
-8x+21=21
Combine -7x and -x to get -8x.
-8x=21-21
Subtract 21 from both sides.
-8x=0
Subtract 21 from 21 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since -8 is not equal to 0, x must be equal to 0.