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2\times 2x=3\left(5x-1\right)
Multiply both sides of the equation by 6, the least common multiple of 3,2.
4x=3\left(5x-1\right)
Multiply 2 and 2 to get 4.
4x=15x-3
Use the distributive property to multiply 3 by 5x-1.
4x-15x=-3
Subtract 15x from both sides.
-11x=-3
Combine 4x and -15x to get -11x.
x=\frac{-3}{-11}
Divide both sides by -11.
x=\frac{3}{11}
Fraction \frac{-3}{-11} can be simplified to \frac{3}{11} by removing the negative sign from both the numerator and the denominator.