Solve 3=1/x+1

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

Solve for x

$$x=-\frac{2}{3}\approx -0.666666667$$

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.

$$3\left(x+1\right)=1$$

Use the distributive property to multiply 3 by x+1.

$$3x+3=1$$

Subtract 3 from both sides.

$$3x=1-3$$

Subtract 3 from 1 to get -2.

$$3x=-2$$

Divide both sides by 3.

$$x=\frac{-2}{3}$$

Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

$$x=-\frac{2}{3}$$