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3x-15=5\left(x-3\right)
Use the distributive property to multiply 3 by x-5.
3x-15=5x-15
Use the distributive property to multiply 5 by x-3.
3x-15-5x=-15
Subtract 5x from both sides.
-2x-15=-15
Combine 3x and -5x to get -2x.
-2x=-15+15
Add 15 to both sides.
-2x=0
Add -15 and 15 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since -2 is not equal to 0, x must be equal to 0.