Solve 8-5/x=2+3/x

$$8 - \frac { 5 } { x } = 2 + \frac { 3 } { x }$$

Solve for x

$$x = \frac{4}{3} = 1\frac{1}{3} \approx 1.333333333$$

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.

$$x\times 8-5=x\times 2+3$$

Subtract x\times 2 from both sides.

$$x\times 8-5-x\times 2=3$$

Combine x\times 8 and -x\times 2 to get 6x.

$$6x-5=3$$

Add 5 to both sides.

$$6x=3+5$$

Add 3 and 5 to get 8.

$$6x=8$$

Divide both sides by 6.

$$x=\frac{8}{6}$$

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

$$x=\frac{4}{3}$$