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5\times 2x-3x=5x-12
Multiply both sides of the equation by 15, the least common multiple of 3,5.
10x-3x=5x-12
Multiply 5 and 2 to get 10.
7x=5x-12
Combine 10x and -3x to get 7x.
7x-5x=-12
Subtract 5x from both sides.
2x=-12
Combine 7x and -5x to get 2x.
x=\frac{-12}{2}
Divide both sides by 2.
x=-6
Divide -12 by 2 to get -6.