Solve for x
x = -\frac{67}{16} = -4\frac{3}{16} = -4.1875
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27\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 27\left(5x-1\right), the least common multiple of 5x-1,27.
81x+54=13\left(5x-1\right)
Use the distributive property to multiply 27 by 3x+2.
81x+54=65x-13
Use the distributive property to multiply 13 by 5x-1.
81x+54-65x=-13
Subtract 65x from both sides.
16x+54=-13
Combine 81x and -65x to get 16x.
16x=-13-54
Subtract 54 from both sides.
16x=-67
Subtract 54 from -13 to get -67.
x=\frac{-67}{16}
Divide both sides by 16.
x=-\frac{67}{16}
Fraction \frac{-67}{16} can be rewritten as -\frac{67}{16} by extracting the negative sign.
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