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5\left(x-3\right)=3x
Multiply both sides of the equation by 15, the least common multiple of 3,5.
5x-15=3x
Use the distributive property to multiply 5 by x-3.
5x-15-3x=0
Subtract 3x from both sides.
2x-15=0
Combine 5x and -3x to get 2x.
2x=15
Add 15 to both sides. Anything plus zero gives itself.
x=\frac{15}{2}
Divide both sides by 2.