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3x=45+5\left(x-3\right)
Multiply both sides of the equation by 15, the least common multiple of 5,3.
3x=45+5x-15
Use the distributive property to multiply 5 by x-3.
3x=30+5x
Subtract 15 from 45 to get 30.
3x-5x=30
Subtract 5x from both sides.
-2x=30
Combine 3x and -5x to get -2x.
x=\frac{30}{-2}
Divide both sides by -2.
x=-15
Divide 30 by -2 to get -15.