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

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

Solve for x

$$x=\frac{1}{3}\approx 0.333333333$$

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.

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

Subtract x\left(-4\right) from both sides.

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

Combine x\times 2 and -x\left(-4\right) to get 6x.

$$3+6x=5$$

Subtract 3 from both sides.

$$6x=5-3$$

Subtract 3 from 5 to get 2.

$$6x=2$$

Divide both sides by 6.

$$x=\frac{2}{6}$$

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

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