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x\times 3=\left(x-4\right)\left(-1\right)
Variable x cannot be equal to any of the values 0,4 since division by zero is not defined. Multiply both sides of the equation by x\left(x-4\right), the least common multiple of x-4,x.
x\times 3=-x+4
Use the distributive property to multiply x-4 by -1.
x\times 3+x=4
Add x to both sides.
4x=4
Combine x\times 3 and x to get 4x.
x=\frac{4}{4}
Divide both sides by 4.
x=1
Divide 4 by 4 to get 1.