Solve 1/x-1/-frac{1{2}}=3,x

$$\frac { 1 } { x } - \frac { 1 } { - \frac { 1 } { 2 } } = 3 , x$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$1-x\times \frac{1}{-\frac{1}{2}}=3x$$

Divide 1 by -\frac{1}{2} by multiplying 1 by the reciprocal of -\frac{1}{2}.

$$1-x\times 1\left(-2\right)=3x$$

Multiply 1 and -2 to get -2.

$$1-x\left(-2\right)=3x$$

Subtract 3x from both sides.

$$1-x\left(-2\right)-3x=0$$

Subtract 1 from both sides. Anything subtracted from zero gives its negation.

$$-x\left(-2\right)-3x=-1$$

Multiply -1 and -2 to get 2.

$$2x-3x=-1$$

Combine 2x and -3x to get -x.

$$-x=-1$$

Multiply both sides by -1.

$$x=1$$