Solve for x
x=17
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Linear Equation
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\frac { 6 } { x } - \frac { 1 } { 3 } = \frac { 1 } { 3 x }
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3\times 6+3x\left(-\frac{1}{3}\right)=1
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3x, the least common multiple of x,3,3x.
18+3x\left(-\frac{1}{3}\right)=1
Multiply 3 and 6 to get 18.
18-x=1
Multiply 3 and -\frac{1}{3} to get -1.
-x=1-18
Subtract 18 from both sides.
-x=-17
Subtract 18 from 1 to get -17.
x=17
Multiply both sides by -1.
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