Solve for d 3d+16=-2(5-3d)

$3 d + 16 = - 2 (5 - 3 d)$

Step 1

Simplify $- 2 (5 - 3 d)$ .

Rewrite.

$3 d + 16 = 0 + 0 - 2 (5 - 3 d)$

Simplify by adding zeros.

$3 d + 16 = - 2 (5 - 3 d)$

Apply the distributive property.

$3 d + 16 = - 2 \cdot 5 - 2 (- 3 d)$

Multiply.

Multiply $- 2$ by $5$ .

$3 d + 16 = - 10 - 2 (- 3 d)$

Multiply $- 3$ by $- 2$ .

$3 d + 16 = - 10 + 6 d$

Step 2

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

Subtract $6 d$ from both sides of the equation.

$3 d + 16 - 6 d = - 10$

Subtract $6 d$ from $3 d$ .

$- 3 d + 16 = - 10$

Step 3

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

Subtract $16$ from both sides of the equation.

$- 3 d = - 10 - 16$

Subtract $16$ from $- 10$ .

$- 3 d = - 26$

Step 4

Divide each term in $- 3 d = - 26$ by $- 3$ and simplify.

Divide each term in $- 3 d = - 26$ by $- 3$ .

$\frac{- 3 d}{- 3} = \frac{- 26}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 d}{- 3} = \frac{- 26}{- 3}$

Divide $d$ by $1$ .

$d = \frac{- 26}{- 3}$

Simplify the right side.

Dividing two negative values results in a positive value.

$d = \frac{26}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$d = \frac{26}{3}$

Decimal Form:

$d = 8.\overline{6}$

Mixed Number Form:

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

Solve for d 3d+16=-2(5-3d)

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