Solve for j -7j+7=5j+43

$- 7 j + 7 = 5 j + 43$

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

Subtract $5 j$ from both sides of the equation.

$- 7 j + 7 - 5 j = 43$

Subtract $5 j$ from $- 7 j$ .

$- 12 j + 7 = 43$

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

Subtract $7$ from both sides of the equation.

$- 12 j = 43 - 7$

Subtract $7$ from $43$ .

$- 12 j = 36$

Divide each term in $- 12 j = 36$ by $- 12$ and simplify.

Divide each term in $- 12 j = 36$ by $- 12$ .

$\frac{- 12 j}{- 12} = \frac{36}{- 12}$

Simplify the left side.

Cancel the common factor of $- 12$ .

Cancel the common factor.

$\frac{- 12 j}{- 12} = \frac{36}{- 12}$

Divide $j$ by $1$ .

$j = \frac{36}{- 12}$

Simplify the right side.

Divide $36$ by $- 12$ .

$j = - 3$