Solve for d 0.2(d-6)=0.3d+5-3+0.1d

$0.2 (d - 6) = 0.3 d + 5 - 3 + 0.1 d$

Since $d$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$0.3 d + 5 - 3 + 0.1 d = 0.2 (d - 6)$

Simplify $0.3 d + 5 - 3 + 0.1 d$ .

Add $0.3 d$ and $0.1 d$ .

$0.4 d + 5 - 3 = 0.2 (d - 6)$

Subtract $3$ from $5$ .

$0.4 d + 2 = 0.2 (d - 6)$

Simplify $0.2 (d - 6)$ .

Apply the distributive property.

$0.4 d + 2 = 0.2 d + 0.2 \cdot - 6$

Multiply $0.2$ by $- 6$ .

$0.4 d + 2 = 0.2 d - 1.2$

Move all terms containing $d$ to the left side of the equation.

Subtract $0.2 d$ from both sides of the equation.

$0.4 d + 2 - 0.2 d = - 1.2$

Subtract $0.2 d$ from $0.4 d$ .

$0.2 d + 2 = - 1.2$

Move all terms not containing $d$ to the right side of the equation.

Subtract $2$ from both sides of the equation.

$0.2 d = - 1.2 - 2$

Subtract $2$ from $- 1.2$ .

$0.2 d = - 3.2$

Divide each term in $0.2 d = - 3.2$ by $0.2$ and simplify.

Divide each term in $0.2 d = - 3.2$ by $0.2$ .

$\frac{0.2 d}{0.2} = \frac{- 3.2}{0.2}$

Simplify the left side.

Cancel the common factor of $0.2$ .

Cancel the common factor.

$\frac{0.2 d}{0.2} = \frac{- 3.2}{0.2}$

Divide $d$ by $1$ .

$d = \frac{- 3.2}{0.2}$

Simplify the right side.

Divide $- 3.2$ by $0.2$ .

$d = - 16$