Solve -2+1/r=2r+3/r

$$- 2 + \frac { 1 } { r } = \frac { 2 r + 3 } { r }$$

Solve for r

$$r=-\frac{1}{2}=-0.5$$

Steps for Solving Linear Equation

Variable r cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by r.

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

Subtract 2r from both sides.

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

Combine r\left(-2\right) and -2r to get -4r.

$$-4r+1=3$$

Subtract 1 from both sides.

$$-4r=3-1$$

Subtract 1 from 3 to get 2.

$$-4r=2$$

Divide both sides by -4.

$$r=\frac{2}{-4}$$

Reduce the fraction \frac{2}{-4} to lowest terms by extracting and canceling out 2.

$$r=-\frac{1}{2}$$