Solve 2/x-3=1/2

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

Solve for x

$$x=\frac{4}{7}\approx 0.571428571$$

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 2x, the least common multiple of x,2.

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

Multiply 2 and 2 to get 4.

$$4+2x\left(-3\right)=x$$

Multiply 2 and -3 to get -6.

$$4-6x=x$$

Subtract x from both sides.

$$4-6x-x=0$$

Combine -6x and -x to get -7x.

$$4-7x=0$$

Subtract 4 from both sides. Anything subtracted from zero gives its negation.

$$-7x=-4$$

Divide both sides by -7.

$$x=\frac{-4}{-7}$$

Fraction \frac{-4}{-7} can be simplified to \frac{4}{7} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{4}{7}$$