Solve 2r-1/3+2=r+1/4

$$\frac { 2 r - 1 } { 3 } + 2 = \frac { r + 1 } { 4 }$$

Solve for r

$$r = -\frac{17}{5} = -3\frac{2}{5} = -3.4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,4.

$$4\left(2r-1\right)+24=3\left(r+1\right)$$

Use the distributive property to multiply 4 by 2r-1.

$$8r-4+24=3\left(r+1\right)$$

Add -4 and 24 to get 20.

$$8r+20=3\left(r+1\right)$$

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

$$8r+20=3r+3$$

Subtract 3r from both sides.

$$8r+20-3r=3$$

Combine 8r and -3r to get 5r.

$$5r+20=3$$

Subtract 20 from both sides.

$$5r=3-20$$

Subtract 20 from 3 to get -17.

$$5r=-17$$

Divide both sides by 5.

$$r=\frac{-17}{5}$$

Fraction \frac{-17}{5} can be rewritten as -\frac{17}{5} by extracting the negative sign.

$$r=-\frac{17}{5}$$