Solve 2x/16+9x=9

$$\frac{ 2x }{ 16+9x } =9$$

Solve for x

$$x = -\frac{144}{79} = -1\frac{65}{79} \approx -1.82278481$$

Steps for Solving Linear Equation

Variable x cannot be equal to -\frac{16}{9} since division by zero is not defined. Multiply both sides of the equation by 9x+16.

$$2x=9\left(9x+16\right)$$

Use the distributive property to multiply 9 by 9x+16.

$$2x=81x+144$$

Subtract 81x from both sides.

$$2x-81x=144$$

Combine 2x and -81x to get -79x.

$$-79x=144$$

Divide both sides by -79.

$$x=\frac{144}{-79}$$

Fraction \frac{144}{-79} can be rewritten as -\frac{144}{79} by extracting the negative sign.

$$x=-\frac{144}{79}$$