Solve for x
x=0
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5\left(x-3\right)=3\left(x-5\right)
Multiply both sides of the equation by 15, the least common multiple of 3,5.
5x-15=3\left(x-5\right)
Use the distributive property to multiply 5 by x-3.
5x-15=3x-15
Use the distributive property to multiply 3 by x-5.
5x-15-3x=-15
Subtract 3x from both sides.
2x-15=-15
Combine 5x and -3x 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.
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