Solve 2/x-4/5=3/x

$$\frac { 2 } { x } - \frac { 4 } { 5 } = \frac { 3 } { x }$$

Solve for x

$$x = -\frac{5}{4} = -1\frac{1}{4} = -1.25$$

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 5x, the least common multiple of x,5.

$$5\times 2+5x\left(-\frac{4}{5}\right)=5\times 3$$

Multiply 5 and 2 to get 10.

$$10+5x\left(-\frac{4}{5}\right)=5\times 3$$

Cancel out 5 and 5.

$$10-4x=5\times 3$$

Multiply 5 and 3 to get 15.

$$10-4x=15$$

Subtract 10 from both sides.

$$-4x=15-10$$

Subtract 10 from 15 to get 5.

$$-4x=5$$

Divide both sides by -4.

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

Fraction \frac{5}{-4} can be rewritten as -\frac{5}{4} by extracting the negative sign.

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