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9x\times 5=x\times 45
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 18x, the least common multiple of 2x,18.
45x=x\times 45
Multiply 9 and 5 to get 45.
45x-x\times 45=0
Subtract x\times 45 from both sides.
0=0
Combine 45x and -x\times 45 to get 0.
\text{true}
Compare 0 and 0.
x\in \mathrm{R}
This is true for any x.
x\in \mathrm{R}\setminus 0
Variable x cannot be equal to 0.