Solve for w 1.5(w+3)=0.6w

$1.5 (w + 3) = 0.6 w$

Simplify $1.5 (w + 3)$ .

Start simplifying.

$0 + 0 + 1.5 (w + 3) = 0.6 w$

Simplify by adding zeros.

$1.5 (w + 3) = 0.6 w$

Apply the distributive property.

$1.5 w + 1.5 \cdot 3 = 0.6 w$

Multiply $1.5$ by $3$ .

$1.5 w + 4.5 = 0.6 w$

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

Subtract $0.6 w$ from both sides of the equation.

$1.5 w + 4.5 - 0.6 w = 0$

Subtract $0.6 w$ from $1.5 w$ .

$0.9 w + 4.5 = 0$

Subtract $4.5$ from both sides of the equation.

$0.9 w = - 4.5$

Divide each term in $0.9 w = - 4.5$ by $0.9$ and simplify.

Divide each term in $0.9 w = - 4.5$ by $0.9$ .

$\frac{0.9 w}{0.9} = \frac{- 4.5}{0.9}$

Simplify the left side.

Cancel the common factor of $0.9$ .

Cancel the common factor.

$\frac{0.9 w}{0.9} = \frac{- 4.5}{0.9}$

Divide $w$ by $1$ .

$w = \frac{- 4.5}{0.9}$

Simplify the right side.

Divide $- 4.5$ by $0.9$ .

$w = - 5$