Solve 0=1/x+3-2

$$0 = \frac { 1 } { x + 3 } - 2$$

Solve for x

$$x = -\frac{5}{2} = -2\frac{1}{2} = -2.5$$

Steps for Solving Linear Equation

Variable x cannot be equal to -3 since division by zero is not defined. Multiply both sides of the equation by x+3.

$$0=1+\left(x+3\right)\left(-2\right)$$

Use the distributive property to multiply x+3 by -2.

$$0=1-2x-6$$

Subtract 6 from 1 to get -5.

$$0=-5-2x$$

Swap sides so that all variable terms are on the left hand side.

$$-5-2x=0$$

Add 5 to both sides. Anything plus zero gives itself.

$$-2x=5$$

Divide both sides by -2.

$$x=\frac{5}{-2}$$

Fraction \frac{5}{-2} can be rewritten as -\frac{5}{2} by extracting the negative sign.

$$x=-\frac{5}{2}$$