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5+4=3\left(x-3\right)
Variable x cannot be equal to 3 since division by zero is not defined. Multiply both sides of the equation by x-3, the least common multiple of x-3,3-x.
9=3\left(x-3\right)
Add 5 and 4 to get 9.
9=3x-9
Use the distributive property to multiply 3 by x-3.
3x-9=9
Swap sides so that all variable terms are on the left hand side.
3x=9+9
Add 9 to both sides.
3x=18
Add 9 and 9 to get 18.
x=\frac{18}{3}
Divide both sides by 3.
x=6
Divide 18 by 3 to get 6.