Solve 80-3/5=5d+3/2

$$80 - \frac { 3 } { 5 } = 5 d + \frac { 3 } { 2 }$$

Solve for d

$$d = \frac{779}{50} = 15\frac{29}{50} = 15.58$$

Steps for Solving Linear Equation

Convert 80 to fraction \frac{400}{5}.

$$\frac{400}{5}-\frac{3}{5}=5d+\frac{3}{2}$$

Since \frac{400}{5} and \frac{3}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{400-3}{5}=5d+\frac{3}{2}$$

Subtract 3 from 400 to get 397.

$$\frac{397}{5}=5d+\frac{3}{2}$$

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

$$5d+\frac{3}{2}=\frac{397}{5}$$

Subtract \frac{3}{2} from both sides.

$$5d=\frac{397}{5}-\frac{3}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{397}{5} and \frac{3}{2} to fractions with denominator 10.

$$5d=\frac{794}{10}-\frac{15}{10}$$

Since \frac{794}{10} and \frac{15}{10} have the same denominator, subtract them by subtracting their numerators.

$$5d=\frac{794-15}{10}$$

Subtract 15 from 794 to get 779.

$$5d=\frac{779}{10}$$

Divide both sides by 5.

$$d=\frac{\frac{779}{10}}{5}$$

Express \frac{\frac{779}{10}}{5} as a single fraction.

$$d=\frac{779}{10\times 5}$$

Multiply 10 and 5 to get 50.

$$d=\frac{779}{50}$$