Solve for d 14=3d-15+2d-6

$14 = 3 d - 15 + 2 d - 6$

Step 1

Rewrite the equation as $3 d - 15 + 2 d - 6 = 14$ .

$3 d - 15 + 2 d - 6 = 14$

Step 2

Simplify $3 d - 15 + 2 d - 6$ .

Add $3 d$ and $2 d$ .

$5 d - 15 - 6 = 14$

Subtract $6$ from $- 15$ .

$5 d - 21 = 14$

Step 3

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

Add $21$ to both sides of the equation.

$5 d = 14 + 21$

Add $14$ and $21$ .

$5 d = 35$

Step 4

Divide each term in $5 d = 35$ by $5$ and simplify.

Divide each term in $5 d = 35$ by $5$ .

$\frac{5 d}{5} = \frac{35}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 d}{5} = \frac{35}{5}$

Divide $d$ by $1$ .

$d = \frac{35}{5}$

Simplify the right side.

Divide $35$ by $5$ .

$d = 7$