Solve x+3/x=1/9

$$\frac { x + 3 } { x } = \frac { 1 } { 9 }$$

Solve for x

$$x = -\frac{27}{8} = -3\frac{3}{8} = -3.375$$

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 9x, the least common multiple of x,9.

$$9\left(x+3\right)=x$$

Use the distributive property to multiply 9 by x+3.

$$9x+27=x$$

Subtract x from both sides.

$$9x+27-x=0$$

Combine 9x and -x to get 8x.

$$8x+27=0$$

Subtract 27 from both sides. Anything subtracted from zero gives its negation.

$$8x=-27$$

Divide both sides by 8.

$$x=\frac{-27}{8}$$

Fraction \frac{-27}{8} can be rewritten as -\frac{27}{8} by extracting the negative sign.

$$x=-\frac{27}{8}$$