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5\left(3x-2\right)=2\left(2x-1\right)
Multiply both sides of the equation by 10, the least common multiple of 2,5.
15x-10=2\left(2x-1\right)
Use the distributive property to multiply 5 by 3x-2.
15x-10=4x-2
Use the distributive property to multiply 2 by 2x-1.
15x-10-4x=-2
Subtract 4x from both sides.
11x-10=-2
Combine 15x and -4x to get 11x.
11x=-2+10
Add 10 to both sides.
11x=8
Add -2 and 10 to get 8.
x=\frac{8}{11}
Divide both sides by 11.