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3\times 5x=12x+2\left(x-2\right)
Multiply both sides of the equation by 6, the least common multiple of 2,3.
15x=12x+2\left(x-2\right)
Multiply 3 and 5 to get 15.
15x=12x+2x-4
Use the distributive property to multiply 2 by x-2.
15x=14x-4
Combine 12x and 2x to get 14x.
15x-14x=-4
Subtract 14x from both sides.
x=-4
Combine 15x and -14x to get x.