Solve for j j/-2+7=-12

$\frac{j}{- 2} + 7 = - 12$

Step 1

Move the negative in front of the fraction.

$- \frac{j}{2} + 7 = - 12$

Step 2

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

Subtract $7$ from both sides of the equation.

$- \frac{j}{2} = - 12 - 7$

Subtract $7$ from $- 12$ .

$- \frac{j}{2} = - 19$

Step 3

Multiply both sides of the equation by $- 2$ .

$- 2 (- \frac{j}{2}) = - 2 \cdot - 19$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 2 (- \frac{j}{2})$ .

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{j}{2}$ into the numerator.

$- 2 \frac{- j}{2} = - 2 \cdot - 19$

Factor $2$ out of $- 2$ .

$2 (- 1) \frac{- j}{2} = - 2 \cdot - 19$

Cancel the common factor.

$2 \cdot - 1 \frac{- j}{2} = - 2 \cdot - 19$

Rewrite the expression.

$- - j = - 2 \cdot - 19$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 j = - 2 \cdot - 19$

Multiply $j$ by $1$ .

$j = - 2 \cdot - 19$

Simplify the right side.

Multiply $- 2$ by $- 19$ .

$j = 38$