Solve 4/9x+4/9=-1

$$\frac { 4 } { 9 x } + \frac { 4 } { 9 } = - 1$$

Solve for x

$$x=-\frac{4}{13}\approx -0.307692308$$

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 9x,9.

$$4+9x\times \frac{4}{9}=-9x$$

Multiply 9 and \frac{4}{9} to get 4.

$$4+4x=-9x$$

Add 9x to both sides.

$$4+4x+9x=0$$

Combine 4x and 9x to get 13x.

$$4+13x=0$$

Subtract 4 from both sides. Anything subtracted from zero gives its negation.

$$13x=-4$$

Divide both sides by 13.

$$x=\frac{-4}{13}$$

Fraction \frac{-4}{13} can be rewritten as -\frac{4}{13} by extracting the negative sign.

$$x=-\frac{4}{13}$$