Solve 8d-3/5=5d+3/2

$$8 d - \frac { 3 } { 5 } = 5 d + \frac { 3 } { 2 }$$

Solve for d

$$d=\frac{7}{10}=0.7$$

Steps for Solving Linear Equation

Subtract 5d from both sides.

$$8d-\frac{3}{5}-5d=\frac{3}{2}$$

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

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

Add \frac{3}{5} to both sides.

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

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

$$3d=\frac{15}{10}+\frac{6}{10}$$

Since \frac{15}{10} and \frac{6}{10} have the same denominator, add them by adding their numerators.

$$3d=\frac{15+6}{10}$$

Add 15 and 6 to get 21.

$$3d=\frac{21}{10}$$

Divide both sides by 3.

$$d=\frac{\frac{21}{10}}{3}$$

Express \frac{\frac{21}{10}}{3} as a single fraction.

$$d=\frac{21}{10\times 3}$$

Multiply 10 and 3 to get 30.

$$d=\frac{21}{30}$$

Reduce the fraction \frac{21}{30} to lowest terms by extracting and canceling out 3.

$$d=\frac{7}{10}$$