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2\times 2x-x=15
Multiply both sides of the equation by 6, the least common multiple of 3,6,2.
4x-x=15
Multiply 2 and 2 to get 4.
3x=15
Combine 4x and -x to get 3x.
x=\frac{15}{3}
Divide both sides by 3.
x=5
Divide 15 by 3 to get 5.