Solve for x
x = \frac{43}{20} = 2\frac{3}{20} = 2.15
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15\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 15\left(5x-1\right), the least common multiple of 5x-1,15.
45x+30=13\left(5x-1\right)
Use the distributive property to multiply 15 by 3x+2.
45x+30=65x-13
Use the distributive property to multiply 13 by 5x-1.
45x+30-65x=-13
Subtract 65x from both sides.
-20x+30=-13
Combine 45x and -65x to get -20x.
-20x=-13-30
Subtract 30 from both sides.
-20x=-43
Subtract 30 from -13 to get -43.
x=\frac{-43}{-20}
Divide both sides by -20.
x=\frac{43}{20}
Fraction \frac{-43}{-20} can be simplified to \frac{43}{20} by removing the negative sign from both the numerator and the denominator.
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