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

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

Solve for r

$$r=-5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3.

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

Use the distributive property to multiply 3 by r-1.

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

Use the distributive property to multiply 2 by 2r+1.

$$3r-3=4r+2$$

Subtract 4r from both sides.

$$3r-3-4r=2$$

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

$$-r-3=2$$

Add 3 to both sides.

$$-r=2+3$$

Add 2 and 3 to get 5.

$$-r=5$$

Multiply both sides by -1.

$$r=-5$$