Solve 31/2-d+2*1=19/10

$$3 \frac { 1 } { 2 } - d + 2 \cdot 1 = 1 \frac { 9 } { 10 }$$

Solve for d

$$d = \frac{18}{5} = 3\frac{3}{5} = 3.6$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 2,10.

$$5\left(3\times 2+1\right)-10d+20\times 1=1\times 10+9$$

Multiply 3 and 2 to get 6.

$$5\left(6+1\right)-10d+20\times 1=1\times 10+9$$

Add 6 and 1 to get 7.

$$5\times 7-10d+20\times 1=1\times 10+9$$

Multiply 5 and 7 to get 35.

$$35-10d+20\times 1=1\times 10+9$$

Multiply 20 and 1 to get 20.

$$35-10d+20=1\times 10+9$$

Add 35 and 20 to get 55.

$$55-10d=1\times 10+9$$

Multiply 1 and 10 to get 10.

$$55-10d=10+9$$

Add 10 and 9 to get 19.

$$55-10d=19$$

Subtract 55 from both sides.

$$-10d=19-55$$

Subtract 55 from 19 to get -36.

$$-10d=-36$$

Divide both sides by -10.

$$d=\frac{-36}{-10}$$

Reduce the fraction \frac{-36}{-10} to lowest terms by extracting and canceling out -2.

$$d=\frac{18}{5}$$