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2\left(3x+2\right)=13\left(5x-1\right)
Variable x cannot be equal to \frac{1}{5} since division by zero is not defined. Multiply both sides of the equation by 2\left(5x-1\right), the least common multiple of 5x-1,2.
6x+4=13\left(5x-1\right)
Use the distributive property to multiply 2 by 3x+2.
6x+4=65x-13
Use the distributive property to multiply 13 by 5x-1.
6x+4-65x=-13
Subtract 65x from both sides.
-59x+4=-13
Combine 6x and -65x to get -59x.
-59x=-13-4
Subtract 4 from both sides.
-59x=-17
Subtract 4 from -13 to get -17.
x=\frac{-17}{-59}
Divide both sides by -59.
x=\frac{17}{59}
Fraction \frac{-17}{-59} can be simplified to \frac{17}{59} by removing the negative sign from both the numerator and the denominator.