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10\left(x-3\right)=9x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 10x, the least common multiple of x,10.
10x-30=9x
Use the distributive property to multiply 10 by x-3.
10x-30-9x=0
Subtract 9x from both sides.
x-30=0
Combine 10x and -9x to get x.
x=30
Add 30 to both sides. Anything plus zero gives itself.