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2\times 2x+3=6x-15
Multiply both sides of the equation by 6, the least common multiple of 3,2.
4x+3=6x-15
Multiply 2 and 2 to get 4.
4x+3-6x=-15
Subtract 6x from both sides.
-2x+3=-15
Combine 4x and -6x to get -2x.
-2x=-15-3
Subtract 3 from both sides.
-2x=-18
Subtract 3 from -15 to get -18.
x=\frac{-18}{-2}
Divide both sides by -2.
x=9
Divide -18 by -2 to get 9.