Solve x/x+1=4

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

Solve for x

$$x = -\frac{4}{3} = -1\frac{1}{3} \approx -1.333333333$$

Steps for Solving Linear Equation

Variable x cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by x+1.

$$x=4\left(x+1\right)$$

Use the distributive property to multiply 4 by x+1.

$$x=4x+4$$

Subtract 4x from both sides.

$$x-4x=4$$

Combine x and -4x to get -3x.

$$-3x=4$$

Divide both sides by -3.

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

Fraction \frac{4}{-3} can be rewritten as -\frac{4}{3} by extracting the negative sign.

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