Solve x+1/x+2=5

$$\frac { x + 1 } { x + 2 } = 5$$

Solve for x

$$x = -\frac{9}{4} = -2\frac{1}{4} = -2.25$$

Steps for Solving Linear Equation

Variable x cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by x+2.

$$x+1=5\left(x+2\right)$$

Use the distributive property to multiply 5 by x+2.

$$x+1=5x+10$$

Subtract 5x from both sides.

$$x+1-5x=10$$

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

$$-4x+1=10$$

Subtract 1 from both sides.

$$-4x=10-1$$

Subtract 1 from 10 to get 9.

$$-4x=9$$

Divide both sides by -4.

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

Fraction \frac{9}{-4} can be rewritten as -\frac{9}{4} by extracting the negative sign.

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