Solve for x
x = \frac{21}{4} = 5\frac{1}{4} = 5.25
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Linear Equation
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\frac { 2 } { 3 } - \frac { 1 } { x } = \frac { 5 } { 2 x }
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6x\times \frac{2}{3}-6=3\times 5
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 3,x,2x.
4x-6=3\times 5
Multiply 6 and \frac{2}{3} to get 4.
4x-6=15
Multiply 3 and 5 to get 15.
4x=15+6
Add 6 to both sides.
4x=21
Add 15 and 6 to get 21.
x=\frac{21}{4}
Divide both sides by 4.
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