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\left(x-3\right)\times 5+2x=0
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 3-x,x-3.
5x-15+2x=0
Use the distributive property to multiply x-3 by 5.
7x-15=0
Combine 5x and 2x to get 7x.
7x=15
Add 15 to both sides. Anything plus zero gives itself.
x=\frac{15}{7}
Divide both sides by 7.