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\left(x+3\right)\times 45=25x
Variable x cannot be equal to -3 since division by zero is not defined. Multiply both sides of the equation by 25\left(x+3\right), the least common multiple of 25,x+3.
45x+135=25x
Use the distributive property to multiply x+3 by 45.
45x+135-25x=0
Subtract 25x from both sides.
20x+135=0
Combine 45x and -25x to get 20x.
20x=-135
Subtract 135 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-135}{20}
Divide both sides by 20.
x=-\frac{27}{4}
Reduce the fraction \frac{-135}{20} to lowest terms by extracting and canceling out 5.