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4=\left(x-3\right)\times 8+x
Variable x cannot be equal to any of the values 0,3 since division by zero is not defined. Multiply both sides of the equation by x\left(x-3\right), the least common multiple of x^{2}-3x,x,x-3.
4=8x-24+x
Use the distributive property to multiply x-3 by 8.
4=9x-24
Combine 8x and x to get 9x.
9x-24=4
Swap sides so that all variable terms are on the left hand side.
9x=4+24
Add 24 to both sides.
9x=28
Add 4 and 24 to get 28.
x=\frac{28}{9}
Divide both sides by 9.