Solve x11/x-9=-10

$$x \frac { 11 } { x - 9 } = - 10$$

Solve for x

$$x = \frac{30}{7} = 4\frac{2}{7} \approx 4.285714286$$

Steps for Solving Linear Equation

Variable x cannot be equal to 9 since division by zero is not defined. Multiply both sides of the equation by x-9.

$$x\times 11=-10\left(x-9\right)$$

Use the distributive property to multiply -10 by x-9.

$$x\times 11=-10x+90$$

Add 10x to both sides.

$$x\times 11+10x=90$$

Combine x\times 11 and 10x to get 21x.

$$21x=90$$

Divide both sides by 21.

$$x=\frac{90}{21}$$

Reduce the fraction \frac{90}{21} to lowest terms by extracting and canceling out 3.

$$x=\frac{30}{7}$$