Solve for w 4.5w=5.1w-30

$4.5 w = 5.1 w - 30$

Step 1

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

Subtract $5.1 w$ from both sides of the equation.

$4.5 w - 5.1 w = - 30$

Subtract $5.1 w$ from $4.5 w$ .

$- 0.6 w = - 30$

Step 2

Divide each term in $- 0.6 w = - 30$ by $- 0.6$ and simplify.

Divide each term in $- 0.6 w = - 30$ by $- 0.6$ .

$\frac{- 0.6 w}{- 0.6} = \frac{- 30}{- 0.6}$

Simplify the left side.

Cancel the common factor of $- 0.6$ .

Cancel the common factor.

$\frac{- 0.6 w}{- 0.6} = \frac{- 30}{- 0.6}$

Divide $w$ by $1$ .

$w = \frac{- 30}{- 0.6}$

Simplify the right side.

Divide $- 30$ by $- 0.6$ .

$w = 50$