Solve for x
x = -\frac{17}{3} = -5\frac{2}{3} \approx -5.666666667
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Linear Equation
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\frac { 5 } { x } + \frac { 1 } { 2 } = \frac { 13 } { 6 x }
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6\times 5+6x\times \frac{1}{2}=13
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 6x, the least common multiple of x,2,6x.
30+6x\times \frac{1}{2}=13
Multiply 6 and 5 to get 30.
30+3x=13
Multiply 6 and \frac{1}{2} to get 3.
3x=13-30
Subtract 30 from both sides.
3x=-17
Subtract 30 from 13 to get -17.
x=\frac{-17}{3}
Divide both sides by 3.
x=-\frac{17}{3}
Fraction \frac{-17}{3} can be rewritten as -\frac{17}{3} by extracting the negative sign.
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