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

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

Solve for x

$$x=-12$$

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.

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

Multiply 4 and 5 to get 20.

$$20+4x\times \frac{3}{4}=4\left(-4\right)$$

Cancel out 4 and 4.

$$20+3x=4\left(-4\right)$$

Multiply 4 and -4 to get -16.

$$20+3x=-16$$

Subtract 20 from both sides.

$$3x=-16-20$$

Subtract 20 from -16 to get -36.

$$3x=-36$$

Divide both sides by 3.

$$x=\frac{-36}{3}$$

Divide -36 by 3 to get -12.

$$x=-12$$