Solve for j 0.1j=2(0.3j+0.5)

$0.1 j = 2 (0.3 j + 0.5)$

Simplify $2 (0.3 j + 0.5)$ .

Apply the distributive property.

$0.1 j = 2 (0.3 j) + 2 \cdot 0.5$

Multiply.

Multiply $0.3$ by $2$ .

$0.1 j = 0.6 j + 2 \cdot 0.5$

Multiply $2$ by $0.5$ .

$0.1 j = 0.6 j + 1$

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

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

$0.1 j - 0.6 j = 1$

Subtract $0.6 j$ from $0.1 j$ .

$- 0.5 j = 1$

Divide each term in $- 0.5 j = 1$ by $- 0.5$ and simplify.

Divide each term in $- 0.5 j = 1$ by $- 0.5$ .

$\frac{- 0.5 j}{- 0.5} = \frac{1}{- 0.5}$

Simplify the left side.

Cancel the common factor of $- 0.5$ .

Cancel the common factor.

$\frac{- 0.5 j}{- 0.5} = \frac{1}{- 0.5}$

Divide $j$ by $1$ .

$j = \frac{1}{- 0.5}$

Simplify the right side.

Divide $1$ by $- 0.5$ .

$j = - 2$