Solve for d 5+1.5(2d-1)=0.5

$5 + 1.5 (2 d - 1) = 0.5$

Step 1

Simplify $5 + 1.5 (2 d - 1)$ .

Simplify each term.

Apply the distributive property.

$5 + 1.5 (2 d) + 1.5 \cdot - 1 = 0.5$

Multiply $2$ by $1.5$ .

$5 + 3 d + 1.5 \cdot - 1 = 0.5$

Multiply $1.5$ by $- 1$ .

$5 + 3 d - 1.5 = 0.5$

Subtract $1.5$ from $5$ .

$3 d + 3.5 = 0.5$

Step 2

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

Subtract $3.5$ from both sides of the equation.

$3 d = 0.5 - 3.5$

Subtract $3.5$ from $0.5$ .

$3 d = - 3$

Step 3

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

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

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

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

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

Divide $d$ by $1$ .

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

Simplify the right side.

Divide $- 3$ by $3$ .

$d = - 1$