Solve for x -0.5(0.3x-0.6)=-1.5

$- 0.5 (0.3 x - 0.6) = - 1.5$

Step 1

Divide each term in $- 0.5 (0.3 x - 0.6) = - 1.5$ by $- 0.5$ and simplify.

Divide each term in $- 0.5 (0.3 x - 0.6) = - 1.5$ by $- 0.5$ .

$\frac{- 0.5 (0.3 x - 0.6)}{- 0.5} = \frac{- 1.5}{- 0.5}$

Simplify the left side.

Cancel the common factor of $- 0.5$ .

Cancel the common factor.

$\frac{- 0.5 (0.3 x - 0.6)}{- 0.5} = \frac{- 1.5}{- 0.5}$

Divide $0.3 x - 0.6$ by $1$ .

$0.3 x - 0.6 = \frac{- 1.5}{- 0.5}$

Simplify the right side.

Divide $- 1.5$ by $- 0.5$ .

$0.3 x - 0.6 = 3$

Step 2

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

Add $0.6$ to both sides of the equation.

$0.3 x = 3 + 0.6$

Add $3$ and $0.6$ .

$0.3 x = 3.6$

Step 3

Divide each term in $0.3 x = 3.6$ by $0.3$ and simplify.

Divide each term in $0.3 x = 3.6$ by $0.3$ .

$\frac{0.3 x}{0.3} = \frac{3.6}{0.3}$

Simplify the left side.

Cancel the common factor of $0.3$ .

Cancel the common factor.

$\frac{0.3 x}{0.3} = \frac{3.6}{0.3}$

Divide $x$ by $1$ .

$x = \frac{3.6}{0.3}$

Simplify the right side.

Divide $3.6$ by $0.3$ .

$x = 12$