Solve for j 5(4/5j+2)=3-6j

$5 (\frac{4}{5} j + 2) = 3 - 6 j$

Simplify $5 (\frac{4}{5} j + 2)$ .

Rewrite.

$0 + 0 + 5 (\frac{4}{5} j + 2) = 3 - 6 j$

Simplify by adding zeros.

$5 (\frac{4}{5} j + 2) = 3 - 6 j$

Combine $\frac{4}{5}$ and $j$ .

$5 (\frac{4 j}{5} + 2) = 3 - 6 j$

Apply the distributive property.

$5 \frac{4 j}{5} + 5 \cdot 2 = 3 - 6 j$

Cancel the common factor of $5$ .

Cancel the common factor.

$5 \frac{4 j}{5} + 5 \cdot 2 = 3 - 6 j$

Rewrite the expression.

$4 j + 5 \cdot 2 = 3 - 6 j$

Multiply $5$ by $2$ .

$4 j + 10 = 3 - 6 j$

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

Add $6 j$ to both sides of the equation.

$4 j + 10 + 6 j = 3$

Add $4 j$ and $6 j$ .

$10 j + 10 = 3$

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

Subtract $10$ from both sides of the equation.

$10 j = 3 - 10$

Subtract $10$ from $3$ .

$10 j = - 7$

Divide each term in $10 j = - 7$ by $10$ and simplify.

Divide each term in $10 j = - 7$ by $10$ .

$\frac{10 j}{10} = \frac{- 7}{10}$

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{10 j}{10} = \frac{- 7}{10}$

Divide $j$ by $1$ .

$j = \frac{- 7}{10}$

Simplify the right side.

Move the negative in front of the fraction.

$j = - \frac{7}{10}$

The result can be shown in multiple forms.

Exact Form:

$j = - \frac{7}{10}$

Decimal Form:

$j = - 0.7$