Solve 5/x-2=5/4

$$\frac { 5 } { x } - 2 = \frac { 5 } { 4 }$$

Solve for x

$$x = \frac{20}{13} = 1\frac{7}{13} \approx 1.538461538$$

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 4x, the least common multiple of x,4.

$$4\times 5+4x\left(-2\right)=5x$$

Multiply 4 and 5 to get 20.

$$20+4x\left(-2\right)=5x$$

Multiply 4 and -2 to get -8.

$$20-8x=5x$$

Subtract 5x from both sides.

$$20-8x-5x=0$$

Combine -8x and -5x to get -13x.

$$20-13x=0$$

Subtract 20 from both sides. Anything subtracted from zero gives its negation.

$$-13x=-20$$

Divide both sides by -13.

$$x=\frac{-20}{-13}$$

Fraction \frac{-20}{-13} can be simplified to \frac{20}{13} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{20}{13}$$