Solve 5r-r/8+3r=7r/4-49/18

$$5 r - \frac { r } { 8 } + 3 r = \frac { 7 r } { 4 } - \frac { 49 } { 18 }$$

Solve for r

$$r=-\frac{4}{9}\approx -0.444444444$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 72, the least common multiple of 8,4,18.

$$360r-9r+216r=18\times 7r-196$$

Combine 360r and -9r to get 351r.

$$351r+216r=18\times 7r-196$$

Combine 351r and 216r to get 567r.

$$567r=18\times 7r-196$$

Multiply 18 and 7 to get 126.

$$567r=126r-196$$

Subtract 126r from both sides.

$$567r-126r=-196$$

Combine 567r and -126r to get 441r.

$$441r=-196$$

Divide both sides by 441.

$$r=\frac{-196}{441}$$

Reduce the fraction \frac{-196}{441} to lowest terms by extracting and canceling out 49.

$$r=-\frac{4}{9}$$