Solve x+4/x+9=5

$$\frac { x + 4 } { x + 9 } = 5$$

Solve for x

$$x = -\frac{41}{4} = -10\frac{1}{4} = -10.25$$

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.

$$x+4=5\left(x+9\right)$$

Use the distributive property to multiply 5 by x+9.

$$x+4=5x+45$$

Subtract 5x from both sides.

$$x+4-5x=45$$

Combine x and -5x to get -4x.

$$-4x+4=45$$

Subtract 4 from both sides.

$$-4x=45-4$$

Subtract 4 from 45 to get 41.

$$-4x=41$$

Divide both sides by -4.

$$x=\frac{41}{-4}$$

Fraction \frac{41}{-4} can be rewritten as -\frac{41}{4} by extracting the negative sign.

$$x=-\frac{41}{4}$$