Solve x/x+4=3-1/x+4

$$\frac { x } { x + 4 } = 3 - \frac { 1 } { x + 4 }$$

Solve for x

$$x = -\frac{11}{2} = -5\frac{1}{2} = -5.5$$

Steps for Solving Linear Equation

Variable x cannot be equal to -4 since division by zero is not defined. Multiply both sides of the equation by x+4.

$$x=\left(x+4\right)\times 3-1$$

Use the distributive property to multiply x+4 by 3.

$$x=3x+12-1$$

Subtract 1 from 12 to get 11.

$$x=3x+11$$

Subtract 3x from both sides.

$$x-3x=11$$

Combine x and -3x to get -2x.

$$-2x=11$$

Divide both sides by -2.

$$x=\frac{11}{-2}$$

Fraction \frac{11}{-2} can be rewritten as -\frac{11}{2} by extracting the negative sign.

$$x=-\frac{11}{2}$$