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4x+12-2\left(3-x\right)=6-x
Use the distributive property to multiply 4 by x+3.
4x+12-6+2x=6-x
Use the distributive property to multiply -2 by 3-x.
4x+6+2x=6-x
Subtract 6 from 12 to get 6.
6x+6=6-x
Combine 4x and 2x to get 6x.
6x+6+x=6
Add x to both sides.
7x+6=6
Combine 6x and x to get 7x.
7x=6-6
Subtract 6 from both sides.
7x=0
Subtract 6 from 6 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 7 is not equal to 0, x must be equal to 0.